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Finding the Fourth Proportional to 11,469,205,368,017, 17,203,808,052,029 and 11,469,205,368,017

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Solution

The fourth proportional to 11,469,205,368,017, 17,203,808,052,029 and 11,469,205,368,017 is: 17,203,808,052,029

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469,205,368,017 : 17,203,808,052,029 = 11,469,205,368,017 : x
  2. Step 2: Convert to fraction form
    11,469,205,368,017/17,203,808,052,029 = 11,469,205,368,017/x
  3. Step 3: Cross multiply
    11,469,205,368,017x = 17,203,808,052,029 × 11,469,205,368,017
  4. Step 4: Simplify right side
    11,469,205,368,017x = 197,314,007,660,665,091,376,807,936
  5. Step 5: Solve for x
    x = 197,314,007,660,665,091,376,807,936/11,469,205,368,017
  6. Step 6: Final answer
    x = 17,203,808,052,029

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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.