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Finding the Fourth Proportional to 213,792,784.80, 295,037,472.24 and 116,007,640.80

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Solution

The fourth proportional to 213,792,784.80, 295,037,472.24 and 116,007,640.80 is: 160,092,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,792,784.80 : 295,037,472.24 = 116,007,640.80 : x
  2. Step 2: Convert to fraction form
    213,792,784.80/295,037,472.24 = 116,007,640.80/x
  3. Step 3: Cross multiply
    213,792,784.80x = 295,037,472.24 × 116,007,640.80
  4. Step 4: Simplify right side
    213,792,784.80x = 34,226,601,102,157,892
  5. Step 5: Solve for x
    x = 34,226,601,102,157,892/213,792,784.80
  6. Step 6: Final answer
    x = 160,092,405.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.