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According to the math of General Relativity, which was the first theory of gravity to predict the existence of black holes, the event horizon's radius is directly proportional to the amount of mass that exists within the horizon. So a black hole with twice the mass has twice the radius. It follows that the more massive a black hole is, the less dense it is.

2 times the mass, 2 times the radius, 8 times the volume, 1/4th the density.