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Finding the Fourth Proportional to 541,728,611.70, 812,592,917.55 and 403,776,150.90

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Solution

The fourth proportional to 541,728,611.70, 812,592,917.55 and 403,776,150.90 is: 605,664,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,728,611.70 : 812,592,917.55 = 403,776,150.90 : x
  2. Step 2: Convert to fraction form
    541,728,611.70/812,592,917.55 = 403,776,150.90/x
  3. Step 3: Cross multiply
    541,728,611.70x = 812,592,917.55 × 403,776,150.90
  4. Step 4: Simplify right side
    541,728,611.70x = 328,105,640,496,940,032
  5. Step 5: Solve for x
    x = 328,105,640,496,940,032/541,728,611.70
  6. Step 6: Final answer
    x = 605,664,226.35

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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.