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Finding the Fourth Proportional to 3,266,165,246.40, 4,899,247,869.60 and 3,266,165,246.40

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Solution

The fourth proportional to 3,266,165,246.40, 4,899,247,869.60 and 3,266,165,246.40 is: 4,899,247,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266,165,246.40 : 4,899,247,869.60 = 3,266,165,246.40 : x
  2. Step 2: Convert to fraction form
    3,266,165,246.40/4,899,247,869.60 = 3,266,165,246.40/x
  3. Step 3: Cross multiply
    3,266,165,246.40x = 4,899,247,869.60 × 3,266,165,246.40
  4. Step 4: Simplify right side
    3,266,165,246.40x = 16,001,753,125,186,760,704
  5. Step 5: Solve for x
    x = 16,001,753,125,186,760,704/3,266,165,246.40
  6. Step 6: Final answer
    x = 4,899,247,869.60

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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.