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Finding the Fourth Proportional to 577,469,997.40, 866,204,996.10 and 448,475,488.60

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Solution

The fourth proportional to 577,469,997.40, 866,204,996.10 and 448,475,488.60 is: 672,713,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,469,997.40 : 866,204,996.10 = 448,475,488.60 : x
  2. Step 2: Convert to fraction form
    577,469,997.40/866,204,996.10 = 448,475,488.60/x
  3. Step 3: Cross multiply
    577,469,997.40x = 866,204,996.10 × 448,475,488.60
  4. Step 4: Simplify right side
    577,469,997.40x = 388,471,708,853,708,608
  5. Step 5: Solve for x
    x = 388,471,708,853,708,608/577,469,997.40
  6. Step 6: Final answer
    x = 672,713,232.90

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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.