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Finding the Fourth Proportional to 393,662,031.20, 590,493,046.80 and 291,625,359.20

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Solution

The fourth proportional to 393,662,031.20, 590,493,046.80 and 291,625,359.20 is: 437,438,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,662,031.20 : 590,493,046.80 = 291,625,359.20 : x
  2. Step 2: Convert to fraction form
    393,662,031.20/590,493,046.80 = 291,625,359.20/x
  3. Step 3: Cross multiply
    393,662,031.20x = 590,493,046.80 × 291,625,359.20
  4. Step 4: Simplify right side
    393,662,031.20x = 172,202,746,878,152,384
  5. Step 5: Solve for x
    x = 172,202,746,878,152,384/393,662,031.20
  6. Step 6: Final answer
    x = 437,438,038.80

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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.