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Finding the Fourth Proportional to 541,337,505,203.70, 812,006,257,805.55 and 541,337,505,203.70

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Solution

The fourth proportional to 541,337,505,203.70, 812,006,257,805.55 and 541,337,505,203.70 is: 812,006,257,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,337,505,203.70 : 812,006,257,805.55 = 541,337,505,203.70 : x
  2. Step 2: Convert to fraction form
    541,337,505,203.70/812,006,257,805.55 = 541,337,505,203.70/x
  3. Step 3: Cross multiply
    541,337,505,203.70x = 812,006,257,805.55 × 541,337,505,203.70
  4. Step 4: Simplify right side
    541,337,505,203.70x = 439,569,441,810,248,942,747,648
  5. Step 5: Solve for x
    x = 439,569,441,810,248,942,747,648/541,337,505,203.70
  6. Step 6: Final answer
    x = 812,006,257,805.55

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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.