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Finding the Fourth Proportional to 52,479,072,002.87, 78,718,608,004.29 and 52,479,072,002.87

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Solution

The fourth proportional to 52,479,072,002.87, 78,718,608,004.29 and 52,479,072,002.87 is: 78,718,608,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,479,072,002.87 : 78,718,608,004.29 = 52,479,072,002.87 : x
  2. Step 2: Convert to fraction form
    52,479,072,002.87/78,718,608,004.29 = 52,479,072,002.87/x
  3. Step 3: Cross multiply
    52,479,072,002.87x = 78,718,608,004.29 × 52,479,072,002.87
  4. Step 4: Simplify right side
    52,479,072,002.87x = 4,131,079,497,422,833,451,008
  5. Step 5: Solve for x
    x = 4,131,079,497,422,833,451,008/52,479,072,002.87
  6. Step 6: Final answer
    x = 78,718,608,004.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.