YOU SAID:

cats are to dogs as dogs are to cats

INTO JAPANESE

犬は猫にあるように猫は犬にある

BACK INTO ENGLISH

Cats are in dogs, just as dogs are in cats

INTO JAPANESE

犬が猫の中にいるように、猫は犬の中にいます

BACK INTO ENGLISH

A cat is in a dog, just as a dog is in a dog

INTO JAPANESE

犬が犬の中にいるのと同じように、猫は犬の中にいます

BACK INTO ENGLISH

Cats are in dogs, just as dogs are in dogs

INTO JAPANESE

犬が犬の中にいるように、猫は犬の中にいます

BACK INTO ENGLISH

Cats are in dogs, just as dogs are in dogs