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Finding the Fourth Proportional to 668,604,000.10, 1,002,906,000.15 and 208,541,431.30

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Solution

The fourth proportional to 668,604,000.10, 1,002,906,000.15 and 208,541,431.30 is: 312,812,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,604,000.10 : 1,002,906,000.15 = 208,541,431.30 : x
  2. Step 2: Convert to fraction form
    668,604,000.10/1,002,906,000.15 = 208,541,431.30/x
  3. Step 3: Cross multiply
    668,604,000.10x = 1,002,906,000.15 × 208,541,431.30
  4. Step 4: Simplify right side
    668,604,000.10x = 209,147,452,730,639,008
  5. Step 5: Solve for x
    x = 209,147,452,730,639,008/668,604,000.10
  6. Step 6: Final answer
    x = 312,812,146.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.