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Finding the Fourth Proportional to 819,419,918.10, 1,229,129,877.15 and 819,419,918.10

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Solution

The fourth proportional to 819,419,918.10, 1,229,129,877.15 and 819,419,918.10 is: 1,229,129,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,419,918.10 : 1,229,129,877.15 = 819,419,918.10 : x
  2. Step 2: Convert to fraction form
    819,419,918.10/1,229,129,877.15 = 819,419,918.10/x
  3. Step 3: Cross multiply
    819,419,918.10x = 1,229,129,877.15 × 819,419,918.10
  4. Step 4: Simplify right side
    819,419,918.10x = 1,007,173,503,268,516,224
  5. Step 5: Solve for x
    x = 1,007,173,503,268,516,224/819,419,918.10
  6. Step 6: Final answer
    x = 1,229,129,877.15

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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.