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Finding the Fourth Proportional to 655,129,045,605.20, 982,693,568,407.70 and 655,129,045,605.20

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Solution

The fourth proportional to 655,129,045,605.20, 982,693,568,407.70 and 655,129,045,605.20 is: 982,693,568,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,129,045,605.20 : 982,693,568,407.70 = 655,129,045,605.20 : x
  2. Step 2: Convert to fraction form
    655,129,045,605.20/982,693,568,407.70 = 655,129,045,605.20/x
  3. Step 3: Cross multiply
    655,129,045,605.20x = 982,693,568,407.70 × 655,129,045,605.20
  4. Step 4: Simplify right side
    655,129,045,605.20x = 643,791,099,593,304,724,996,096
  5. Step 5: Solve for x
    x = 643,791,099,593,304,724,996,096/655,129,045,605.20
  6. Step 6: Final answer
    x = 982,693,568,407.70

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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.