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Finding the Fourth Proportional to 534,384,009.20, 801,576,013.80 and 534,384,009.20

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Solution

The fourth proportional to 534,384,009.20, 801,576,013.80 and 534,384,009.20 is: 801,576,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,384,009.20 : 801,576,013.80 = 534,384,009.20 : x
  2. Step 2: Convert to fraction form
    534,384,009.20/801,576,013.80 = 534,384,009.20/x
  3. Step 3: Cross multiply
    534,384,009.20x = 801,576,013.80 × 534,384,009.20
  4. Step 4: Simplify right side
    534,384,009.20x = 428,349,403,932,998,464
  5. Step 5: Solve for x
    x = 428,349,403,932,998,464/534,384,009.20
  6. Step 6: Final answer
    x = 801,576,013.80

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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.