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Finding the Fourth Proportional to 411,324,757.79, 567,638,610.95 and 225,685,724.27

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Solution

The fourth proportional to 411,324,757.79, 567,638,610.95 and 225,685,724.27 is: 311,452,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,324,757.79 : 567,638,610.95 = 225,685,724.27 : x
  2. Step 2: Convert to fraction form
    411,324,757.79/567,638,610.95 = 225,685,724.27/x
  3. Step 3: Cross multiply
    411,324,757.79x = 567,638,610.95 × 225,685,724.27
  4. Step 4: Simplify right side
    411,324,757.79x = 128,107,931,035,867,520
  5. Step 5: Solve for x
    x = 128,107,931,035,867,520/411,324,757.79
  6. Step 6: Final answer
    x = 311,452,030.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.