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Finding the Fourth Proportional to 81,609,002.10, 122,413,503.15 and 81,609,002.10

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Solution

The fourth proportional to 81,609,002.10, 122,413,503.15 and 81,609,002.10 is: 122,413,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609,002.10 : 122,413,503.15 = 81,609,002.10 : x
  2. Step 2: Convert to fraction form
    81,609,002.10/122,413,503.15 = 81,609,002.10/x
  3. Step 3: Cross multiply
    81,609,002.10x = 122,413,503.15 × 81,609,002.10
  4. Step 4: Simplify right side
    81,609,002.10x = 9,990,043,835,636,706
  5. Step 5: Solve for x
    x = 9,990,043,835,636,706/81,609,002.10
  6. Step 6: Final answer
    x = 122,413,503.15

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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.