This would run into 14th amendment issues (and the "one person, one vote" doctrine) pretty quickly. See https://en.wikipedia.org/wiki/Wesberry_v._Sanders and it's similar cases.

Specifically, the 14th amendment's equal protection clause is seen to apply to voting rights (of which apportionment is perhaps the most unclear, but literally giving individuals multiple votes, as opposed to different weights is sort of a beyond obvious violation).

Do you honestly think the courts will decide against corporations?

You'd be more likely to tune to your local classical station and hear techno. It'd be that out of character

There is also the Equal Protection Clause of the 14th Amendment:

  All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside. No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

Corporate persons are neither born nor naturalized.

> chosen every second Year by the People of the several States

Corporations are legal persons.