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Finding the Fourth Proportional to 2,458,019,836.65, 3,687,029,754.98 and 2,458,019,836.65

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Solution

The fourth proportional to 2,458,019,836.65, 3,687,029,754.98 and 2,458,019,836.65 is: 3,687,029,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,019,836.65 : 3,687,029,754.98 = 2,458,019,836.65 : x
  2. Step 2: Convert to fraction form
    2,458,019,836.65/3,687,029,754.98 = 2,458,019,836.65/x
  3. Step 3: Cross multiply
    2,458,019,836.65x = 3,687,029,754.98 × 2,458,019,836.65
  4. Step 4: Simplify right side
    2,458,019,836.65x = 9,062,792,276,047,339,520
  5. Step 5: Solve for x
    x = 9,062,792,276,047,339,520/2,458,019,836.65
  6. Step 6: Final answer
    x = 3,687,029,754.98

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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.