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Finding the Fourth Proportional to 2,486,546,416,954, 3,729,819,625,431 and 2,486,546,416,954

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Solution

The fourth proportional to 2,486,546,416,954, 3,729,819,625,431 and 2,486,546,416,954 is: 3,729,819,625,431

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,546,416,954 : 3,729,819,625,431 = 2,486,546,416,954 : x
  2. Step 2: Convert to fraction form
    2,486,546,416,954/3,729,819,625,431 = 2,486,546,416,954/x
  3. Step 3: Cross multiply
    2,486,546,416,954x = 3,729,819,625,431 × 2,486,546,416,954
  4. Step 4: Simplify right side
    2,486,546,416,954x = 9,274,369,625,500,162,900,099,072
  5. Step 5: Solve for x
    x = 9,274,369,625,500,162,900,099,072/2,486,546,416,954
  6. Step 6: Final answer
    x = 3,729,819,625,431

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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.