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Finding the Fourth Proportional to 982,682,922,182.70, 1,474,024,383,274 and 982,682,922,182.70

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Solution

The fourth proportional to 982,682,922,182.70, 1,474,024,383,274 and 982,682,922,182.70 is: 1,474,024,383,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,682,922,182.70 : 1,474,024,383,274 = 982,682,922,182.70 : x
  2. Step 2: Convert to fraction form
    982,682,922,182.70/1,474,024,383,274 = 982,682,922,182.70/x
  3. Step 3: Cross multiply
    982,682,922,182.70x = 1,474,024,383,274 × 982,682,922,182.70
  4. Step 4: Simplify right side
    982,682,922,182.70x = 1,448,498,588,324,246,384,017,408
  5. Step 5: Solve for x
    x = 1,448,498,588,324,246,384,017,408/982,682,922,182.70
  6. Step 6: Final answer
    x = 1,474,024,383,274

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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.