system
Given the following post, respond as if you're commenting on Reddit:
human
[Hobbit] How much is the Arkenstone worth?
gpt
Making a ton of assumptions here, but let's break it down.  [Destruction of fourth wall required for further discussion] Assume the following:

* The Arkenstone is a diamond  
* The Arkenstone is an internally flawless diamond
* Due to fine dwarven craftsmanship, it is cut and refined, and is externally flawless

The largest (uncut) diamond ever found in real life was the Cullinan diamond, weighing in at 3,106 carats.  It was approximately fist-sized, like the Arkenstone.  Assuming amazing dwarven craftsmanship, let's assume that they manage to make flawless cuts across its whole surface and only lose, say, that extra 106 carats, leaving it at a perfect 3,000 carats.

The most expensive diamond ever sold at auction was Elizabeth Taylor's 33.19 carat "potentially flawless" diamond, which sold for $8.8 million, or $265,697 per carat.  Applying that world record price to the fabulous Arkenstone of 3,000 carats, its total potential price would be **$797,091,000.**