If the wife earns much more money than the husband, and without the wife's support the husband can't live properly, is there any new responsibility added on the wife?
Bismihi ta'ala
Nafaqah is wajib upon the husband, and any financial contribution the wife makes is solely out of her kindness and good will. She has no responsibility or duty added onto her towards the house, even if she is rich or earns more money.
Yes, there would be a situation where she must contribute, and that is, for example, when she demands to live in a certain area or house that is more expensive, and she pledges to pay the additional amount.
And Allah knows best.