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Finding the Fourth Proportional to 755,174,016,000.07, 1,132,761,024,000.10 and 755,174,016,000.07

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Solution

The fourth proportional to 755,174,016,000.07, 1,132,761,024,000.10 and 755,174,016,000.07 is: 1,132,761,024,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,174,016,000.07 : 1,132,761,024,000.10 = 755,174,016,000.07 : x
  2. Step 2: Convert to fraction form
    755,174,016,000.07/1,132,761,024,000.10 = 755,174,016,000.07/x
  3. Step 3: Cross multiply
    755,174,016,000.07x = 1,132,761,024,000.10 × 755,174,016,000.07
  4. Step 4: Simplify right side
    755,174,016,000.07x = 855,431,691,662,507,202,576,384
  5. Step 5: Solve for x
    x = 855,431,691,662,507,202,576,384/755,174,016,000.07
  6. Step 6: Final answer
    x = 1,132,761,024,000.10

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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.