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Finding the Fourth Proportional to 614,564,904.20, 921,847,356.30 and 614,564,904.20

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Solution

The fourth proportional to 614,564,904.20, 921,847,356.30 and 614,564,904.20 is: 921,847,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,564,904.20 : 921,847,356.30 = 614,564,904.20 : x
  2. Step 2: Convert to fraction form
    614,564,904.20/921,847,356.30 = 614,564,904.20/x
  3. Step 3: Cross multiply
    614,564,904.20x = 921,847,356.30 × 614,564,904.20
  4. Step 4: Simplify right side
    614,564,904.20x = 566,535,032,211,532,800
  5. Step 5: Solve for x
    x = 566,535,032,211,532,800/614,564,904.20
  6. Step 6: Final answer
    x = 921,847,356.30

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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.