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Finding the Fourth Proportional to 7,836,702,099.95, 11,002,376,579.05 and 7,836,702,099.95

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Solution

The fourth proportional to 7,836,702,099.95, 11,002,376,579.05 and 7,836,702,099.95 is: 11,002,376,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,702,099.95 : 11,002,376,579.05 = 7,836,702,099.95 : x
  2. Step 2: Convert to fraction form
    7,836,702,099.95/11,002,376,579.05 = 7,836,702,099.95/x
  3. Step 3: Cross multiply
    7,836,702,099.95x = 11,002,376,579.05 × 7,836,702,099.95
  4. Step 4: Simplify right side
    7,836,702,099.95x = 86,222,347,641,481,822,208
  5. Step 5: Solve for x
    x = 86,222,347,641,481,822,208/7,836,702,099.95
  6. Step 6: Final answer
    x = 11,002,376,579.05

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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.