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Finding the Fourth Proportional to 1,614,492,046.30, 2,261,819,414.90 and 1,614,492,046.30

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Solution

The fourth proportional to 1,614,492,046.30, 2,261,819,414.90 and 1,614,492,046.30 is: 2,261,819,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,492,046.30 : 2,261,819,414.90 = 1,614,492,046.30 : x
  2. Step 2: Convert to fraction form
    1,614,492,046.30/2,261,819,414.90 = 1,614,492,046.30/x
  3. Step 3: Cross multiply
    1,614,492,046.30x = 2,261,819,414.90 × 1,614,492,046.30
  4. Step 4: Simplify right side
    1,614,492,046.30x = 3,651,689,455,522,969,600
  5. Step 5: Solve for x
    x = 3,651,689,455,522,969,600/1,614,492,046.30
  6. Step 6: Final answer
    x = 2,261,819,414.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.