It would make more sense to preserve the ratio if possible.
You can do this with bidicalc already! You just have to model the problem correctly. If you expect the ratio to remain constant, what you actually want is a problem with a single free variable: the scale.
A1 = 1.0 // the scale, your variable
A2 = 6 * A1 // intermediate values
A3 = 8 * A1
A4 = A2 + A3 // the sum
Now update A4 (or any other cell!) and the scale (A1, the only variable) will update as you expect.To get that, you could pass the ratio explicitly. C = 5A + 7B
Yeah, this concept is interesting but the fact that the simplest test case gives what's fundamentally a surprising result is very annoying.
It also doesn't help that in the example, the expected outcome of 53.3333/46.6667 isn't even considered.