The secret to heavy commercial aircraft weighing nearly 500 tons is not sucked down by Earth gravity is applied the same principles as flying birds.
Planes and flying birds have the same flight principle.
Some large commercial aircraft can weigh nearly 460,000kg. Compare it to the heaviest flying bird today: the big bird is only about 16kg. Although different, flying planes and birds have the same flight principle.
Flight activity is a battle against gravity Earth and your greatest ally is air. Birds as well as planes have to resist gravity by manipulating the surrounding gas molecules.