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Finding the Fourth Proportional to 1,337,656,000.10, 2,006,484,000.15 and 872,751,413.30

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Solution

The fourth proportional to 1,337,656,000.10, 2,006,484,000.15 and 872,751,413.30 is: 1,309,127,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,656,000.10 : 2,006,484,000.15 = 872,751,413.30 : x
  2. Step 2: Convert to fraction form
    1,337,656,000.10/2,006,484,000.15 = 872,751,413.30/x
  3. Step 3: Cross multiply
    1,337,656,000.10x = 2,006,484,000.15 × 872,751,413.30
  4. Step 4: Simplify right side
    1,337,656,000.10x = 1,751,161,746,894,749,952
  5. Step 5: Solve for x
    x = 1,751,161,746,894,749,952/1,337,656,000.10
  6. Step 6: Final answer
    x = 1,309,127,119.95

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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.