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Finding the Fourth Proportional to 299,448,031.20, 449,172,046.80 and 295,416,952.80

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Solution

The fourth proportional to 299,448,031.20, 449,172,046.80 and 295,416,952.80 is: 443,125,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,448,031.20 : 449,172,046.80 = 295,416,952.80 : x
  2. Step 2: Convert to fraction form
    299,448,031.20/449,172,046.80 = 295,416,952.80/x
  3. Step 3: Cross multiply
    299,448,031.20x = 449,172,046.80 × 295,416,952.80
  4. Step 4: Simplify right side
    299,448,031.20x = 132,693,037,348,594,992
  5. Step 5: Solve for x
    x = 132,693,037,348,594,992/299,448,031.20
  6. Step 6: Final answer
    x = 443,125,429.20

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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.