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Finding the Fourth Proportional to 3,406,392,938.60, 5,109,589,407.90 and 3,406,392,938.60

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Solution

The fourth proportional to 3,406,392,938.60, 5,109,589,407.90 and 3,406,392,938.60 is: 5,109,589,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406,392,938.60 : 5,109,589,407.90 = 3,406,392,938.60 : x
  2. Step 2: Convert to fraction form
    3,406,392,938.60/5,109,589,407.90 = 3,406,392,938.60/x
  3. Step 3: Cross multiply
    3,406,392,938.60x = 5,109,589,407.90 × 3,406,392,938.60
  4. Step 4: Simplify right side
    3,406,392,938.60x = 17,405,269,278,215,913,472
  5. Step 5: Solve for x
    x = 17,405,269,278,215,913,472/3,406,392,938.60
  6. Step 6: Final answer
    x = 5,109,589,407.90

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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.