A body is dropped from a certain height \(h.\) The ratio of the distance traveled by \((n-3)\) seconds to the distance it travels in the \((n-3)^{\text{th}}\) second is \(4:3\). Suppose the body falls down to the ground in a total of \(n\) seconds, find the height of the building, \(h\).

**Assumptions and Details**

- \(g=10\) m/s\(^2\)
- The body is not a corpse, simply a mass.
- Neglect wind resistance.

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