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Finding the Fourth Proportional to 10,727,296,857.70, 16,090,945,286.55 and 10,727,296,857.70

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Solution

The fourth proportional to 10,727,296,857.70, 16,090,945,286.55 and 10,727,296,857.70 is: 16,090,945,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727,296,857.70 : 16,090,945,286.55 = 10,727,296,857.70 : x
  2. Step 2: Convert to fraction form
    10,727,296,857.70/16,090,945,286.55 = 10,727,296,857.70/x
  3. Step 3: Cross multiply
    10,727,296,857.70x = 16,090,945,286.55 × 10,727,296,857.70
  4. Step 4: Simplify right side
    10,727,296,857.70x = 172,612,346,809,830,440,960
  5. Step 5: Solve for x
    x = 172,612,346,809,830,440,960/10,727,296,857.70
  6. Step 6: Final answer
    x = 16,090,945,286.55

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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.