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Finding the Fourth Proportional to 884,969,831.82, 1,327,846,353.24 and 464,692,340.82

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Solution

The fourth proportional to 884,969,831.82, 1,327,846,353.24 and 464,692,340.82 is: 697,244,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,969,831.82 : 1,327,846,353.24 = 464,692,340.82 : x
  2. Step 2: Convert to fraction form
    884,969,831.82/1,327,846,353.24 = 464,692,340.82/x
  3. Step 3: Cross multiply
    884,969,831.82x = 1,327,846,353.24 × 464,692,340.82
  4. Step 4: Simplify right side
    884,969,831.82x = 617,040,030,136,396,160
  5. Step 5: Solve for x
    x = 617,040,030,136,396,160/884,969,831.82
  6. Step 6: Final answer
    x = 697,244,140.93

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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.