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Finding the Fourth Proportional to 3,431,002,364.48, 5,146,503,546.72 and 3,431,002,364.48

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Solution

The fourth proportional to 3,431,002,364.48, 5,146,503,546.72 and 3,431,002,364.48 is: 5,146,503,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431,002,364.48 : 5,146,503,546.72 = 3,431,002,364.48 : x
  2. Step 2: Convert to fraction form
    3,431,002,364.48/5,146,503,546.72 = 3,431,002,364.48/x
  3. Step 3: Cross multiply
    3,431,002,364.48x = 5,146,503,546.72 × 3,431,002,364.48
  4. Step 4: Simplify right side
    3,431,002,364.48x = 17,657,665,837,575,294,976
  5. Step 5: Solve for x
    x = 17,657,665,837,575,294,976/3,431,002,364.48
  6. Step 6: Final answer
    x = 5,146,503,546.72

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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.