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Finding the Fourth Proportional to 755,227,962.40, 1,132,841,943.60 and 755,227,962.40

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Solution

The fourth proportional to 755,227,962.40, 1,132,841,943.60 and 755,227,962.40 is: 1,132,841,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,227,962.40 : 1,132,841,943.60 = 755,227,962.40 : x
  2. Step 2: Convert to fraction form
    755,227,962.40/1,132,841,943.60 = 755,227,962.40/x
  3. Step 3: Cross multiply
    755,227,962.40x = 1,132,841,943.60 × 755,227,962.40
  4. Step 4: Simplify right side
    755,227,962.40x = 855,553,912,786,283,648
  5. Step 5: Solve for x
    x = 855,553,912,786,283,648/755,227,962.40
  6. Step 6: Final answer
    x = 1,132,841,943.60

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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.