Puppies do not need to be on puppy formula, and depending on the breed, it is sometimes recommended that puppy food NOT be fed. In my own breed, it is well known that puppy food should not be given, and litters of puppies are weaned on adult maintenance kibble.
What is more important than the formula of food is the balanced nutrition & protein content. You don't mention what breed your puppy is, but if it is a large breed dog, high protein formulas can cause rapid growth, which can lead to joint problems later in life.
As AZ states below, adult dogs getting into the puppy food is more problematic, as the puppy formula can be very rich & easily cause weight gain in mature dogs when not monitored.
A few things regarding feeding - with 4 dogs in the house, it will be very difficult to monitor who is eating & how much. You may want to consider putting everyone on a feeding schedule. Adult dogs can easily do 2 meals a day. If you are home during the day, spreading it out over 3 meals is fine. By feeding set amounts & on a schedule, you will know when any of your dogs go off their food. Also, as they get older, a reduction in food may be needed to maintain a healthy weight.
Your puppy, being only 7 weeks, should really be getting 4 meals a day until 12 weeks. His system is too small to take in as much food as he will need to grow in only 3 meals. Be careful when adjusting his food - determine how much to feed him each day & split it into multiple parts (meals). Puppies should not look rolly-polly (unless they are just furry), nor should they look lean. During the first 6 months, a lot of adjustments may be needed in his food so that he doesn't get too heavy, or go through a growth spurt & lose too much weight. Also, many people are surprised to find that even after their puppy has reached adult size, they still consume more than the other adult dogs in the household, due to their metabolism.
Finally, 7 weeks is VERY young to have gotten a puppy. Between 5 & 8 weeks is a critical time for pups to stay in the litter & gain socialization & proper play instruction from their mother & littermates. Find a safe place for your puppy to get socialization. Running wild at a dog park is questionable, but many puppy obedience classes will offer socialization time.
Good luck with your little one!
T. - Breeder of Rhodesian Ridgebacks since 2000.