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Finding the Fourth Proportional to 11,310,954,048,024, 16,966,431,072,036 and 11,310,954,048,024

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Solution

The fourth proportional to 11,310,954,048,024, 16,966,431,072,036 and 11,310,954,048,024 is: 16,966,431,072,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310,954,048,024 : 16,966,431,072,036 = 11,310,954,048,024 : x
  2. Step 2: Convert to fraction form
    11,310,954,048,024/16,966,431,072,036 = 11,310,954,048,024/x
  3. Step 3: Cross multiply
    11,310,954,048,024x = 16,966,431,072,036 × 11,310,954,048,024
  4. Step 4: Simplify right side
    11,310,954,048,024x = 191,906,522,214,765,766,612,353,024
  5. Step 5: Solve for x
    x = 191,906,522,214,765,766,612,353,024/11,310,954,048,024
  6. Step 6: Final answer
    x = 16,966,431,072,036

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.