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Finding the Fourth Proportional to 16,027,004,494,218, 24,040,506,741,328 and 16,027,004,494,218

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Solution

The fourth proportional to 16,027,004,494,218, 24,040,506,741,328 and 16,027,004,494,218 is: 24,040,506,741,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027,004,494,218 : 24,040,506,741,328 = 16,027,004,494,218 : x
  2. Step 2: Convert to fraction form
    16,027,004,494,218/24,040,506,741,328 = 16,027,004,494,218/x
  3. Step 3: Cross multiply
    16,027,004,494,218x = 24,040,506,741,328 × 16,027,004,494,218
  4. Step 4: Simplify right side
    16,027,004,494,218x = 385,297,309,586,542,004,963,115,008
  5. Step 5: Solve for x
    x = 385,297,309,586,542,004,963,115,008/16,027,004,494,218
  6. Step 6: Final answer
    x = 24,040,506,741,328

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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.