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Finding the Fourth Proportional to 40,469,058.65, 56,784,227.95 and 40,469,058.65

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Solution

The fourth proportional to 40,469,058.65, 56,784,227.95 and 40,469,058.65 is: 56,784,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,469,058.65 : 56,784,227.95 = 40,469,058.65 : x
  2. Step 2: Convert to fraction form
    40,469,058.65/56,784,227.95 = 40,469,058.65/x
  3. Step 3: Cross multiply
    40,469,058.65x = 56,784,227.95 × 40,469,058.65
  4. Step 4: Simplify right side
    40,469,058.65x = 2,298,004,251,303,519.50
  5. Step 5: Solve for x
    x = 2,298,004,251,303,519.50/40,469,058.65
  6. Step 6: Final answer
    x = 56,784,227.95

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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.