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Finding the Fourth Proportional to 497,666,564.80, 746,499,847.20 and 461,386,859.20

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Solution

The fourth proportional to 497,666,564.80, 746,499,847.20 and 461,386,859.20 is: 692,080,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,564.80 : 746,499,847.20 = 461,386,859.20 : x
  2. Step 2: Convert to fraction form
    497,666,564.80/746,499,847.20 = 461,386,859.20/x
  3. Step 3: Cross multiply
    497,666,564.80x = 746,499,847.20 × 461,386,859.20
  4. Step 4: Simplify right side
    497,666,564.80x = 344,425,219,892,887,936
  5. Step 5: Solve for x
    x = 344,425,219,892,887,936/497,666,564.80
  6. Step 6: Final answer
    x = 692,080,288.80

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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.