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Finding the Fourth Proportional to 81,455,829.90, 122,183,744.85 and 81,455,829.90

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Solution

The fourth proportional to 81,455,829.90, 122,183,744.85 and 81,455,829.90 is: 122,183,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455,829.90 : 122,183,744.85 = 81,455,829.90 : x
  2. Step 2: Convert to fraction form
    81,455,829.90/122,183,744.85 = 81,455,829.90/x
  3. Step 3: Cross multiply
    81,455,829.90x = 122,183,744.85 × 81,455,829.90
  4. Step 4: Simplify right side
    81,455,829.90x = 9,952,578,337,046,602
  5. Step 5: Solve for x
    x = 9,952,578,337,046,602/81,455,829.90
  6. Step 6: Final answer
    x = 122,183,744.85

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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.