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Finding the Fourth Proportional to 260,760,384,037.43, 391,140,576,056.15 and 260,760,384,037.43

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Solution

The fourth proportional to 260,760,384,037.43, 391,140,576,056.15 and 260,760,384,037.43 is: 391,140,576,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,037.43 : 391,140,576,056.15 = 260,760,384,037.43 : x
  2. Step 2: Convert to fraction form
    260,760,384,037.43/391,140,576,056.15 = 260,760,384,037.43/x
  3. Step 3: Cross multiply
    260,760,384,037.43x = 391,140,576,056.15 × 260,760,384,037.43
  4. Step 4: Simplify right side
    260,760,384,037.43x = 101,993,966,825,023,270,289,408
  5. Step 5: Solve for x
    x = 101,993,966,825,023,270,289,408/260,760,384,037.43
  6. Step 6: Final answer
    x = 391,140,576,056.15

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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.