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Finding the Fourth Proportional to 13,599,704,769,892, 20,399,557,154,838 and 13,599,704,769,892

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Solution

The fourth proportional to 13,599,704,769,892, 20,399,557,154,838 and 13,599,704,769,892 is: 20,399,557,154,838

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599,704,769,892 : 20,399,557,154,838 = 13,599,704,769,892 : x
  2. Step 2: Convert to fraction form
    13,599,704,769,892/20,399,557,154,838 = 13,599,704,769,892/x
  3. Step 3: Cross multiply
    13,599,704,769,892x = 20,399,557,154,838 × 13,599,704,769,892
  4. Step 4: Simplify right side
    13,599,704,769,892x = 277,427,954,742,334,831,693,135,872
  5. Step 5: Solve for x
    x = 277,427,954,742,334,831,693,135,872/13,599,704,769,892
  6. Step 6: Final answer
    x = 20,399,557,154,838

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1.5x scale

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.