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Finding the Fourth Proportional to 273,226,508.60, 409,698,045.30 and 100,614,471.80

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Solution

The fourth proportional to 273,226,508.60, 409,698,045.30 and 100,614,471.80 is: 150,869,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,226,508.60 : 409,698,045.30 = 100,614,471.80 : x
  2. Step 2: Convert to fraction form
    273,226,508.60/409,698,045.30 = 100,614,471.80/x
  3. Step 3: Cross multiply
    273,226,508.60x = 409,698,045.30 × 100,614,471.80
  4. Step 4: Simplify right side
    273,226,508.60x = 41,221,552,425,351,976
  5. Step 5: Solve for x
    x = 41,221,552,425,351,976/273,226,508.60
  6. Step 6: Final answer
    x = 150,869,520.81

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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.