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Finding the Fourth Proportional to 9,066,469,846,501, 13,599,704,769,751 and 9,066,469,846,501

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Solution

The fourth proportional to 9,066,469,846,501, 13,599,704,769,751 and 9,066,469,846,501 is: 13,599,704,769,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066,469,846,501 : 13,599,704,769,751 = 9,066,469,846,501 : x
  2. Step 2: Convert to fraction form
    9,066,469,846,501/13,599,704,769,751 = 9,066,469,846,501/x
  3. Step 3: Cross multiply
    9,066,469,846,501x = 13,599,704,769,751 × 9,066,469,846,501
  4. Step 4: Simplify right side
    9,066,469,846,501x = 123,301,313,216,263,273,746,268,160
  5. Step 5: Solve for x
    x = 123,301,313,216,263,273,746,268,160/9,066,469,846,501
  6. Step 6: Final answer
    x = 13,599,704,769,751

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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.