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Finding the Fourth Proportional to 7,978,176,077.10, 11,967,264,115.65 and 7,978,176,077.10

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Solution

The fourth proportional to 7,978,176,077.10, 11,967,264,115.65 and 7,978,176,077.10 is: 11,967,264,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,176,077.10 : 11,967,264,115.65 = 7,978,176,077.10 : x
  2. Step 2: Convert to fraction form
    7,978,176,077.10/11,967,264,115.65 = 7,978,176,077.10/x
  3. Step 3: Cross multiply
    7,978,176,077.10x = 11,967,264,115.65 × 7,978,176,077.10
  4. Step 4: Simplify right side
    7,978,176,077.10x = 95,476,940,275,816,120,320
  5. Step 5: Solve for x
    x = 95,476,940,275,816,120,320/7,978,176,077.10
  6. Step 6: Final answer
    x = 11,967,264,115.65

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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.