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Finding the Fourth Proportional to 489,549,620.64, 734,378,227.92 and 161,905,787.04

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Solution

The fourth proportional to 489,549,620.64, 734,378,227.92 and 161,905,787.04 is: 242,876,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,549,620.64 : 734,378,227.92 = 161,905,787.04 : x
  2. Step 2: Convert to fraction form
    489,549,620.64/734,378,227.92 = 161,905,787.04/x
  3. Step 3: Cross multiply
    489,549,620.64x = 734,378,227.92 × 161,905,787.04
  4. Step 4: Simplify right side
    489,549,620.64x = 118,900,084,976,428,096
  5. Step 5: Solve for x
    x = 118,900,084,976,428,096/489,549,620.64
  6. Step 6: Final answer
    x = 242,876,472.50

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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.