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Finding the Fourth Proportional to 542,497,849.71, 813,746,774.57 and 159,545,401.71

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Solution

The fourth proportional to 542,497,849.71, 813,746,774.57 and 159,545,401.71 is: 239,318,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,497,849.71 : 813,746,774.57 = 159,545,401.71 : x
  2. Step 2: Convert to fraction form
    542,497,849.71/813,746,774.57 = 159,545,401.71/x
  3. Step 3: Cross multiply
    542,497,849.71x = 813,746,774.57 × 159,545,401.71
  4. Step 4: Simplify right side
    542,497,849.71x = 129,829,556,038,189,744
  5. Step 5: Solve for x
    x = 129,829,556,038,189,744/542,497,849.71
  6. Step 6: Final answer
    x = 239,318,102.57

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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.