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Finding the Fourth Proportional to 3,974,976,016.05, 5,962,464,024.09 and 3,974,976,016.05

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Solution

The fourth proportional to 3,974,976,016.05, 5,962,464,024.09 and 3,974,976,016.05 is: 5,962,464,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,976,016.05 : 5,962,464,024.09 = 3,974,976,016.05 : x
  2. Step 2: Convert to fraction form
    3,974,976,016.05/5,962,464,024.09 = 3,974,976,016.05/x
  3. Step 3: Cross multiply
    3,974,976,016.05x = 5,962,464,024.09 × 3,974,976,016.05
  4. Step 4: Simplify right side
    3,974,976,016.05x = 23,700,651,492,318,720,000
  5. Step 5: Solve for x
    x = 23,700,651,492,318,720,000/3,974,976,016.05
  6. Step 6: Final answer
    x = 5,962,464,024.09

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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.