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Finding the Fourth Proportional to 980,748,821,122.56, 1,471,123,231,683.80 and 980,748,821,122.56

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Solution

The fourth proportional to 980,748,821,122.56, 1,471,123,231,683.80 and 980,748,821,122.56 is: 1,471,123,231,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,748,821,122.56 : 1,471,123,231,683.80 = 980,748,821,122.56 : x
  2. Step 2: Convert to fraction form
    980,748,821,122.56/1,471,123,231,683.80 = 980,748,821,122.56/x
  3. Step 3: Cross multiply
    980,748,821,122.56x = 1,471,123,231,683.80 × 980,748,821,122.56
  4. Step 4: Simplify right side
    980,748,821,122.56x = 1,442,802,375,199,897,587,548,160
  5. Step 5: Solve for x
    x = 1,442,802,375,199,897,587,548,160/980,748,821,122.56
  6. Step 6: Final answer
    x = 1,471,123,231,683.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.