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Finding the Fourth Proportional to 1,377,268,281.70, 2,065,902,422.55 and 1,377,268,281.70

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Solution

The fourth proportional to 1,377,268,281.70, 2,065,902,422.55 and 1,377,268,281.70 is: 2,065,902,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,268,281.70 : 2,065,902,422.55 = 1,377,268,281.70 : x
  2. Step 2: Convert to fraction form
    1,377,268,281.70/2,065,902,422.55 = 1,377,268,281.70/x
  3. Step 3: Cross multiply
    1,377,268,281.70x = 2,065,902,422.55 × 1,377,268,281.70
  4. Step 4: Simplify right side
    1,377,268,281.70x = 2,845,301,879,665,306,112
  5. Step 5: Solve for x
    x = 2,845,301,879,665,306,112/1,377,268,281.70
  6. Step 6: Final answer
    x = 2,065,902,422.55

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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.