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Finding the Fourth Proportional to 13,366,646,568,013, 20,049,969,852,020 and 13,366,646,568,013

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Solution

The fourth proportional to 13,366,646,568,013, 20,049,969,852,020 and 13,366,646,568,013 is: 20,049,969,852,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366,646,568,013 : 20,049,969,852,020 = 13,366,646,568,013 : x
  2. Step 2: Convert to fraction form
    13,366,646,568,013/20,049,969,852,020 = 13,366,646,568,013/x
  3. Step 3: Cross multiply
    13,366,646,568,013x = 20,049,969,852,020 × 13,366,646,568,013
  4. Step 4: Simplify right side
    13,366,646,568,013x = 268,000,860,711,267,256,433,115,136
  5. Step 5: Solve for x
    x = 268,000,860,711,267,256,433,115,136/13,366,646,568,013
  6. Step 6: Final answer
    x = 20,049,969,852,020

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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.