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Finding the Fourth Proportional to 531,502,410.40, 797,253,615.60 and 497,490,186.40

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Solution

The fourth proportional to 531,502,410.40, 797,253,615.60 and 497,490,186.40 is: 746,235,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,502,410.40 : 797,253,615.60 = 497,490,186.40 : x
  2. Step 2: Convert to fraction form
    531,502,410.40/797,253,615.60 = 497,490,186.40/x
  3. Step 3: Cross multiply
    531,502,410.40x = 797,253,615.60 × 497,490,186.40
  4. Step 4: Simplify right side
    531,502,410.40x = 396,625,849,832,917,952
  5. Step 5: Solve for x
    x = 396,625,849,832,917,952/531,502,410.40
  6. Step 6: Final answer
    x = 746,235,279.60

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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.