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Finding the Fourth Proportional to 1,661,044,538.30, 2,491,566,807.46 and 1,661,044,538.30

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Solution

The fourth proportional to 1,661,044,538.30, 2,491,566,807.46 and 1,661,044,538.30 is: 2,491,566,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,044,538.30 : 2,491,566,807.46 = 1,661,044,538.30 : x
  2. Step 2: Convert to fraction form
    1,661,044,538.30/2,491,566,807.46 = 1,661,044,538.30/x
  3. Step 3: Cross multiply
    1,661,044,538.30x = 2,491,566,807.46 × 1,661,044,538.30
  4. Step 4: Simplify right side
    1,661,044,538.30x = 4,138,603,437,341,000,704
  5. Step 5: Solve for x
    x = 4,138,603,437,341,000,704/1,661,044,538.30
  6. Step 6: Final answer
    x = 2,491,566,807.46

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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.