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Finding the Fourth Proportional to 77,861,502.10, 116,792,253.15 and 77,861,502.10

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Solution

The fourth proportional to 77,861,502.10, 116,792,253.15 and 77,861,502.10 is: 116,792,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,861,502.10 : 116,792,253.15 = 77,861,502.10 : x
  2. Step 2: Convert to fraction form
    77,861,502.10/116,792,253.15 = 77,861,502.10/x
  3. Step 3: Cross multiply
    77,861,502.10x = 116,792,253.15 × 77,861,502.10
  4. Step 4: Simplify right side
    77,861,502.10x = 9,093,620,263,902,456
  5. Step 5: Solve for x
    x = 9,093,620,263,902,456/77,861,502.10
  6. Step 6: Final answer
    x = 116,792,253.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.