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Finding the Fourth Proportional to 7,966,137,714.65, 11,949,206,571.98 and 7,966,137,714.65

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Solution

The fourth proportional to 7,966,137,714.65, 11,949,206,571.98 and 7,966,137,714.65 is: 11,949,206,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966,137,714.65 : 11,949,206,571.98 = 7,966,137,714.65 : x
  2. Step 2: Convert to fraction form
    7,966,137,714.65/11,949,206,571.98 = 7,966,137,714.65/x
  3. Step 3: Cross multiply
    7,966,137,714.65x = 11,949,206,571.98 × 7,966,137,714.65
  4. Step 4: Simplify right side
    7,966,137,714.65x = 95,189,025,133,153,681,408
  5. Step 5: Solve for x
    x = 95,189,025,133,153,681,408/7,966,137,714.65
  6. Step 6: Final answer
    x = 11,949,206,571.98

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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.