Question $1.$c of $2$

The largest gem$-$quality diamond ever found is the Cullinan diamond, found in $1905$ in South Africa. The uncut diamond weighed in at $3106\mathrm{.}75$ carats.

The Great Star of Africa weighs $530\mathrm{.}40$ carats. The Great Star of Africa also has an estimated value of $$2$ billion. What is the price per carat for the Great Star of Africa?