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Finding the Fourth Proportional to 260,760,384,048.93, 391,140,576,073.40 and 260,760,384,048.93

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Solution

The fourth proportional to 260,760,384,048.93, 391,140,576,073.40 and 260,760,384,048.93 is: 391,140,576,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,760,384,048.93 : 391,140,576,073.40 = 260,760,384,048.93 : x
  2. Step 2: Convert to fraction form
    260,760,384,048.93/391,140,576,073.40 = 260,760,384,048.93/x
  3. Step 3: Cross multiply
    260,760,384,048.93x = 391,140,576,073.40 × 260,760,384,048.93
  4. Step 4: Simplify right side
    260,760,384,048.93x = 101,993,966,834,019,515,498,496
  5. Step 5: Solve for x
    x = 101,993,966,834,019,515,498,496/260,760,384,048.93
  6. Step 6: Final answer
    x = 391,140,576,073.40

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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.