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Finding the Fourth Proportional to 96,229,233.90, 144,343,850.85 and 96,229,233.90

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Solution

The fourth proportional to 96,229,233.90, 144,343,850.85 and 96,229,233.90 is: 144,343,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,229,233.90 : 144,343,850.85 = 96,229,233.90 : x
  2. Step 2: Convert to fraction form
    96,229,233.90/144,343,850.85 = 96,229,233.90/x
  3. Step 3: Cross multiply
    96,229,233.90x = 144,343,850.85 × 96,229,233.90
  4. Step 4: Simplify right side
    96,229,233.90x = 13,890,098,185,471,364
  5. Step 5: Solve for x
    x = 13,890,098,185,471,364/96,229,233.90
  6. Step 6: Final answer
    x = 144,343,850.85

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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.