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Finding the Fourth Proportional to 7,836,702,097.70, 11,002,376,575.90 and 7,836,702,097.70

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Solution

The fourth proportional to 7,836,702,097.70, 11,002,376,575.90 and 7,836,702,097.70 is: 11,002,376,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,702,097.70 : 11,002,376,575.90 = 7,836,702,097.70 : x
  2. Step 2: Convert to fraction form
    7,836,702,097.70/11,002,376,575.90 = 7,836,702,097.70/x
  3. Step 3: Cross multiply
    7,836,702,097.70x = 11,002,376,575.90 × 7,836,702,097.70
  4. Step 4: Simplify right side
    7,836,702,097.70x = 86,222,347,592,040,873,984
  5. Step 5: Solve for x
    x = 86,222,347,592,040,873,984/7,836,702,097.70
  6. Step 6: Final answer
    x = 11,002,376,575.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.