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Finding the Fourth Proportional to 81,616,898,620.70, 122,231,856,167.85 and 81,616,898,620.70

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Solution

The fourth proportional to 81,616,898,620.70, 122,231,856,167.85 and 81,616,898,620.70 is: 122,231,856,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,616,898,620.70 : 122,231,856,167.85 = 81,616,898,620.70 : x
  2. Step 2: Convert to fraction form
    81,616,898,620.70/122,231,856,167.85 = 81,616,898,620.70/x
  3. Step 3: Cross multiply
    81,616,898,620.70x = 122,231,856,167.85 × 81,616,898,620.70
  4. Step 4: Simplify right side
    81,616,898,620.70x = 9,976,185,013,071,398,305,792
  5. Step 5: Solve for x
    x = 9,976,185,013,071,398,305,792/81,616,898,620.70
  6. Step 6: Final answer
    x = 122,231,856,167.85

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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.