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Finding the Fourth Proportional to 541,728,614.70, 812,592,922.05 and 403,776,153.90

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Solution

The fourth proportional to 541,728,614.70, 812,592,922.05 and 403,776,153.90 is: 605,664,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728,614.70 : 812,592,922.05 = 403,776,153.90 : x
  2. Step 2: Convert to fraction form
    541,728,614.70/812,592,922.05 = 403,776,153.90/x
  3. Step 3: Cross multiply
    541,728,614.70x = 812,592,922.05 × 403,776,153.90
  4. Step 4: Simplify right side
    541,728,614.70x = 328,105,644,751,711,488
  5. Step 5: Solve for x
    x = 328,105,644,751,711,488/541,728,614.70
  6. Step 6: Final answer
    x = 605,664,230.85

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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.