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Finding the Fourth Proportional to 778,363,375.86, 1,074,141,358.38 and 425,939,273.70

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Solution

The fourth proportional to 778,363,375.86, 1,074,141,358.38 and 425,939,273.70 is: 587,796,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,363,375.86 : 1,074,141,358.38 = 425,939,273.70 : x
  2. Step 2: Convert to fraction form
    778,363,375.86/1,074,141,358.38 = 425,939,273.70/x
  3. Step 3: Cross multiply
    778,363,375.86x = 1,074,141,358.38 × 425,939,273.70
  4. Step 4: Simplify right side
    778,363,375.86x = 457,518,990,039,508,672
  5. Step 5: Solve for x
    x = 457,518,990,039,508,672/778,363,375.86
  6. Step 6: Final answer
    x = 587,796,142.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.