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Finding the Fourth Proportional to 655,121,932,129.56, 982,682,898,194.32 and 655,121,932,129.56

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Solution

The fourth proportional to 655,121,932,129.56, 982,682,898,194.32 and 655,121,932,129.56 is: 982,682,898,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,121,932,129.56 : 982,682,898,194.32 = 655,121,932,129.56 : x
  2. Step 2: Convert to fraction form
    655,121,932,129.56/982,682,898,194.32 = 655,121,932,129.56/x
  3. Step 3: Cross multiply
    655,121,932,129.56x = 982,682,898,194.32 × 655,121,932,129.56
  4. Step 4: Simplify right side
    655,121,932,129.56x = 643,777,118,935,738,654,654,464
  5. Step 5: Solve for x
    x = 643,777,118,935,738,654,654,464/655,121,932,129.56
  6. Step 6: Final answer
    x = 982,682,898,194.32

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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.