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Finding the Fourth Proportional to 13,366,646,568,026, 20,049,969,852,040 and 13,366,646,568,026

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Solution

The fourth proportional to 13,366,646,568,026, 20,049,969,852,040 and 13,366,646,568,026 is: 20,049,969,852,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,366,646,568,026 : 20,049,969,852,040 = 13,366,646,568,026 : x
  2. Step 2: Convert to fraction form
    13,366,646,568,026/20,049,969,852,040 = 13,366,646,568,026/x
  3. Step 3: Cross multiply
    13,366,646,568,026x = 20,049,969,852,040 × 13,366,646,568,026
  4. Step 4: Simplify right side
    13,366,646,568,026x = 268,000,860,711,795,228,172,877,824
  5. Step 5: Solve for x
    x = 268,000,860,711,795,228,172,877,824/13,366,646,568,026
  6. Step 6: Final answer
    x = 20,049,969,852,040

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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.