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Finding the Fourth Proportional to 298,425,871.20, 447,638,806.80 and 177,194,920.80

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Solution

The fourth proportional to 298,425,871.20, 447,638,806.80 and 177,194,920.80 is: 265,792,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,425,871.20 : 447,638,806.80 = 177,194,920.80 : x
  2. Step 2: Convert to fraction form
    298,425,871.20/447,638,806.80 = 177,194,920.80/x
  3. Step 3: Cross multiply
    298,425,871.20x = 447,638,806.80 × 177,194,920.80
  4. Step 4: Simplify right side
    298,425,871.20x = 79,319,322,917,932,512
  5. Step 5: Solve for x
    x = 79,319,322,917,932,512/298,425,871.20
  6. Step 6: Final answer
    x = 265,792,381.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.