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Finding the Fourth Proportional to 2,640,268,247.65, 3,960,402,371.48 and 2,640,268,247.65

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Solution

The fourth proportional to 2,640,268,247.65, 3,960,402,371.48 and 2,640,268,247.65 is: 3,960,402,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,268,247.65 : 3,960,402,371.48 = 2,640,268,247.65 : x
  2. Step 2: Convert to fraction form
    2,640,268,247.65/3,960,402,371.48 = 2,640,268,247.65/x
  3. Step 3: Cross multiply
    2,640,268,247.65x = 3,960,402,371.48 × 2,640,268,247.65
  4. Step 4: Simplify right side
    2,640,268,247.65x = 10,456,524,629,323,202,560
  5. Step 5: Solve for x
    x = 10,456,524,629,323,202,560/2,640,268,247.65
  6. Step 6: Final answer
    x = 3,960,402,371.48

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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.