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Finding the Fourth Proportional to 136,238,732.30, 204,358,098.44 and 136,238,732.30

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Solution

The fourth proportional to 136,238,732.30, 204,358,098.44 and 136,238,732.30 is: 204,358,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,238,732.30 : 204,358,098.44 = 136,238,732.30 : x
  2. Step 2: Convert to fraction form
    136,238,732.30/204,358,098.44 = 136,238,732.30/x
  3. Step 3: Cross multiply
    136,238,732.30x = 204,358,098.44 × 136,238,732.30
  4. Step 4: Simplify right side
    136,238,732.30x = 27,841,488,265,001,220
  5. Step 5: Solve for x
    x = 27,841,488,265,001,220/136,238,732.30
  6. Step 6: Final answer
    x = 204,358,098.44

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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.