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Finding the Fourth Proportional to 586,789,862.60, 880,184,793.90 and 542,448,000.20

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Solution

The fourth proportional to 586,789,862.60, 880,184,793.90 and 542,448,000.20 is: 813,672,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,789,862.60 : 880,184,793.90 = 542,448,000.20 : x
  2. Step 2: Convert to fraction form
    586,789,862.60/880,184,793.90 = 542,448,000.20/x
  3. Step 3: Cross multiply
    586,789,862.60x = 880,184,793.90 × 542,448,000.20
  4. Step 4: Simplify right side
    586,789,862.60x = 477,454,481,257,504,192
  5. Step 5: Solve for x
    x = 477,454,481,257,504,192/586,789,862.60
  6. Step 6: Final answer
    x = 813,672,000.30

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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.