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Finding the Fourth Proportional to 614,564,906.83, 921,847,360.24 and 614,564,906.83

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Solution

The fourth proportional to 614,564,906.83, 921,847,360.24 and 614,564,906.83 is: 921,847,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,564,906.83 : 921,847,360.24 = 614,564,906.83 : x
  2. Step 2: Convert to fraction form
    614,564,906.83/921,847,360.24 = 614,564,906.83/x
  3. Step 3: Cross multiply
    614,564,906.83x = 921,847,360.24 × 614,564,906.83
  4. Step 4: Simplify right side
    614,564,906.83x = 566,535,037,052,767,872
  5. Step 5: Solve for x
    x = 566,535,037,052,767,872/614,564,906.83
  6. Step 6: Final answer
    x = 921,847,360.24

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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.