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Finding the Fourth Proportional to 497,666,909.80, 746,500,364.70 and 461,387,204.20

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Solution

The fourth proportional to 497,666,909.80, 746,500,364.70 and 461,387,204.20 is: 692,080,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,909.80 : 746,500,364.70 = 461,387,204.20 : x
  2. Step 2: Convert to fraction form
    497,666,909.80/746,500,364.70 = 461,387,204.20/x
  3. Step 3: Cross multiply
    497,666,909.80x = 746,500,364.70 × 461,387,204.20
  4. Step 4: Simplify right side
    497,666,909.80x = 344,425,716,203,213,376
  5. Step 5: Solve for x
    x = 344,425,716,203,213,376/497,666,909.80
  6. Step 6: Final answer
    x = 692,080,806.30

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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.