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Finding the Fourth Proportional to 392,490,597.80, 588,735,896.70 and 239,057,676.20

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Solution

The fourth proportional to 392,490,597.80, 588,735,896.70 and 239,057,676.20 is: 358,586,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,490,597.80 : 588,735,896.70 = 239,057,676.20 : x
  2. Step 2: Convert to fraction form
    392,490,597.80/588,735,896.70 = 239,057,676.20/x
  3. Step 3: Cross multiply
    392,490,597.80x = 588,735,896.70 × 239,057,676.20
  4. Step 4: Simplify right side
    392,490,597.80x = 140,741,835,360,625,248
  5. Step 5: Solve for x
    x = 140,741,835,360,625,248/392,490,597.80
  6. Step 6: Final answer
    x = 358,586,514.30

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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.