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Finding the Fourth Proportional to 411,653,711.20, 617,480,566.80 and 169,236,047.20

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Solution

The fourth proportional to 411,653,711.20, 617,480,566.80 and 169,236,047.20 is: 253,854,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,653,711.20 : 617,480,566.80 = 169,236,047.20 : x
  2. Step 2: Convert to fraction form
    411,653,711.20/617,480,566.80 = 169,236,047.20/x
  3. Step 3: Cross multiply
    411,653,711.20x = 617,480,566.80 × 169,236,047.20
  4. Step 4: Simplify right side
    411,653,711.20x = 104,499,970,348,047,536
  5. Step 5: Solve for x
    x = 104,499,970,348,047,536/411,653,711.20
  6. Step 6: Final answer
    x = 253,854,070.80

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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.