Dan wrote down a list of 10 positive integers. The mean of the (one) smallest integer is 2. The mean of the two smallest integers is 4. The mean of the three smallest integers is 6. The mean of the four smallest integers is 8, so on and so forth. The mean of the ten smallest integers is 20. What is the largest integer?

**Details and assumptions**

The **mean** of a set of numbers is the average of all of the numbers in the set.

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