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Finding the Fourth Proportional to 7,839,374.78, 11,759,062.16 and 7,839,374.78

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Solution

The fourth proportional to 7,839,374.78, 11,759,062.16 and 7,839,374.78 is: 11,759,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839,374.78 : 11,759,062.16 = 7,839,374.78 : x
  2. Step 2: Convert to fraction form
    7,839,374.78/11,759,062.16 = 7,839,374.78/x
  3. Step 3: Cross multiply
    7,839,374.78x = 11,759,062.16 × 7,839,374.78
  4. Step 4: Simplify right side
    7,839,374.78x = 92,183,695,294,359.45
  5. Step 5: Solve for x
    x = 92,183,695,294,359.45/7,839,374.78
  6. Step 6: Final answer
    x = 11,759,062.16

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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.