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Finding the Fourth Proportional to 1,297,134,375.83, 1,945,299,151.50 and 467,980,229.69

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Solution

The fourth proportional to 1,297,134,375.83, 1,945,299,151.50 and 467,980,229.69 is: 701,825,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,134,375.83 : 1,945,299,151.50 = 467,980,229.69 : x
  2. Step 2: Convert to fraction form
    1,297,134,375.83/1,945,299,151.50 = 467,980,229.69/x
  3. Step 3: Cross multiply
    1,297,134,375.83x = 1,945,299,151.50 × 467,980,229.69
  4. Step 4: Simplify right side
    1,297,134,375.83x = 910,361,543,737,255,424
  5. Step 5: Solve for x
    x = 910,361,543,737,255,424/1,297,134,375.83
  6. Step 6: Final answer
    x = 701,825,162.22

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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.