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Finding the Fourth Proportional to 81,677,351.85, 122,516,027.78 and 81,677,351.85

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Solution

The fourth proportional to 81,677,351.85, 122,516,027.78 and 81,677,351.85 is: 122,516,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,677,351.85 : 122,516,027.78 = 81,677,351.85 : x
  2. Step 2: Convert to fraction form
    81,677,351.85/122,516,027.78 = 81,677,351.85/x
  3. Step 3: Cross multiply
    81,677,351.85x = 122,516,027.78 × 81,677,351.85
  4. Step 4: Simplify right side
    81,677,351.85x = 10,006,784,707,843,048
  5. Step 5: Solve for x
    x = 10,006,784,707,843,048/81,677,351.85
  6. Step 6: Final answer
    x = 122,516,027.78

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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.