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Finding the Fourth Proportional to 980,744,841,321.90, 1,471,117,261,982.90 and 980,744,841,321.90

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Solution

The fourth proportional to 980,744,841,321.90, 1,471,117,261,982.90 and 980,744,841,321.90 is: 1,471,117,261,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,744,841,321.90 : 1,471,117,261,982.90 = 980,744,841,321.90 : x
  2. Step 2: Convert to fraction form
    980,744,841,321.90/1,471,117,261,982.90 = 980,744,841,321.90/x
  3. Step 3: Cross multiply
    980,744,841,321.90x = 1,471,117,261,982.90 × 980,744,841,321.90
  4. Step 4: Simplify right side
    980,744,841,321.90x = 1,442,790,665,669,327,309,504,512
  5. Step 5: Solve for x
    x = 1,442,790,665,669,327,309,504,512/980,744,841,321.90
  6. Step 6: Final answer
    x = 1,471,117,261,982.90

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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.