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Finding the Fourth Proportional to 497,653,509.60, 746,480,264.40 and 252,765,496.80

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Solution

The fourth proportional to 497,653,509.60, 746,480,264.40 and 252,765,496.80 is: 379,148,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,653,509.60 : 746,480,264.40 = 252,765,496.80 : x
  2. Step 2: Convert to fraction form
    497,653,509.60/746,480,264.40 = 252,765,496.80/x
  3. Step 3: Cross multiply
    497,653,509.60x = 746,480,264.40 × 252,765,496.80
  4. Step 4: Simplify right side
    497,653,509.60x = 188,684,454,882,461,344
  5. Step 5: Solve for x
    x = 188,684,454,882,461,344/497,653,509.60
  6. Step 6: Final answer
    x = 379,148,245.20

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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.