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Finding the Fourth Proportional to 11,310,954,048,080, 16,966,431,072,120 and 11,310,954,048,080

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Solution

The fourth proportional to 11,310,954,048,080, 16,966,431,072,120 and 11,310,954,048,080 is: 16,966,431,072,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310,954,048,080 : 16,966,431,072,120 = 11,310,954,048,080 : x
  2. Step 2: Convert to fraction form
    11,310,954,048,080/16,966,431,072,120 = 11,310,954,048,080/x
  3. Step 3: Cross multiply
    11,310,954,048,080x = 16,966,431,072,120 × 11,310,954,048,080
  4. Step 4: Simplify right side
    11,310,954,048,080x = 191,906,522,216,665,997,583,056,896
  5. Step 5: Solve for x
    x = 191,906,522,216,665,997,583,056,896/11,310,954,048,080
  6. Step 6: Final answer
    x = 16,966,431,072,120

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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.