Bloomberg is worth $50+ billion. They could afford Twitter.
Michael Bloomberg is worth an estimated $52 billion per Forbes. He owns 88% of Bloomberg the company, and nearly all of his wealth is wrapped up in the company. It's an extremely profitable business with $9+ billion in revenue.
It was worth ~$22 billion during the great recession, when Michael Bloomberg repurchased 20% of the company (rather brilliant timing, buying it from Merrill Lynch). That was a decade ago.