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Finding the Fourth Proportional to 260,760,384,133.80, 391,140,576,200.78 and 260,760,384,133.80

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Solution

The fourth proportional to 260,760,384,133.80, 391,140,576,200.78 and 260,760,384,133.80 is: 391,140,576,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,133.80 : 391,140,576,200.78 = 260,760,384,133.80 : x
  2. Step 2: Convert to fraction form
    260,760,384,133.80/391,140,576,200.78 = 260,760,384,133.80/x
  3. Step 3: Cross multiply
    260,760,384,133.80x = 391,140,576,200.78 × 260,760,384,133.80
  4. Step 4: Simplify right side
    260,760,384,133.80x = 101,993,966,900,431,269,396,480
  5. Step 5: Solve for x
    x = 101,993,966,900,431,269,396,480/260,760,384,133.80
  6. Step 6: Final answer
    x = 391,140,576,200.78

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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.