precision loss in floating point is often exponential.

If 64 bit isn't enough, then very quickly 128 is also not enough.

If precision is important then you will very often want systems that represent every number as an interval [a, b] meaning that the true value is between those 2 numbers. This makes you able to detect loss of precision due to e.g. d = a / (b - c) where b-c can result in a number close to zero which makes uncertainty grow. If you use this formula iteratively then precision is lost completely no matter how many bits there are in your floating point variables.