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Finding the Fourth Proportional to 360,876,246.12, 498,013,997.22 and 195,865,793.64

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Solution

The fourth proportional to 360,876,246.12, 498,013,997.22 and 195,865,793.64 is: 270,297,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,876,246.12 : 498,013,997.22 = 195,865,793.64 : x
  2. Step 2: Convert to fraction form
    360,876,246.12/498,013,997.22 = 195,865,793.64/x
  3. Step 3: Cross multiply
    360,876,246.12x = 498,013,997.22 × 195,865,793.64
  4. Step 4: Simplify right side
    360,876,246.12x = 97,543,906,809,324,048
  5. Step 5: Solve for x
    x = 97,543,906,809,324,048/360,876,246.12
  6. Step 6: Final answer
    x = 270,297,388.25

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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.