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Finding the Fourth Proportional to 1,337,472,035.80, 2,006,208,053.70 and 814,454,375.65

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Solution

The fourth proportional to 1,337,472,035.80, 2,006,208,053.70 and 814,454,375.65 is: 1,221,681,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,472,035.80 : 2,006,208,053.70 = 814,454,375.65 : x
  2. Step 2: Convert to fraction form
    1,337,472,035.80/2,006,208,053.70 = 814,454,375.65/x
  3. Step 3: Cross multiply
    1,337,472,035.80x = 2,006,208,053.70 × 814,454,375.65
  4. Step 4: Simplify right side
    1,337,472,035.80x = 1,633,964,927,800,235,264
  5. Step 5: Solve for x
    x = 1,633,964,927,800,235,264/1,337,472,035.80
  6. Step 6: Final answer
    x = 1,221,681,563.48

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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.