A flat tax rate, by charging a higher dollar amount to the rich person than the poor person, is still punishing success and rewarding failure, because the rich

A flat tax rate, by charging a higher dollar amount to the rich person than the poor person, is still punishing success and rewarding failure, because the rich person pays a hell of a lot more for the same services than the poor person. I propose that we charge everyone an equal dollar amount, that's surely the only way to be fair - after all, if you go out to dinner with five people and rack up a $200 bill, everyone pays $40, that's "fair". Right?