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Finding the Fourth Proportional to 1,609,664,308.70, 2,414,496,463.05 and 1,609,664,308.70

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Solution

The fourth proportional to 1,609,664,308.70, 2,414,496,463.05 and 1,609,664,308.70 is: 2,414,496,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,664,308.70 : 2,414,496,463.05 = 1,609,664,308.70 : x
  2. Step 2: Convert to fraction form
    1,609,664,308.70/2,414,496,463.05 = 1,609,664,308.70/x
  3. Step 3: Cross multiply
    1,609,664,308.70x = 2,414,496,463.05 × 1,609,664,308.70
  4. Step 4: Simplify right side
    1,609,664,308.70x = 3,886,528,780,053,974,016
  5. Step 5: Solve for x
    x = 3,886,528,780,053,974,016/1,609,664,308.70
  6. Step 6: Final answer
    x = 2,414,496,463.05

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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.