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Finding the Fourth Proportional to 298,416,331.20, 447,624,496.80 and 177,185,380.80

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Solution

The fourth proportional to 298,416,331.20, 447,624,496.80 and 177,185,380.80 is: 265,778,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416,331.20 : 447,624,496.80 = 177,185,380.80 : x
  2. Step 2: Convert to fraction form
    298,416,331.20/447,624,496.80 = 177,185,380.80/x
  3. Step 3: Cross multiply
    298,416,331.20x = 447,624,496.80 × 177,185,380.80
  4. Step 4: Simplify right side
    298,416,331.20x = 79,312,516,920,916,384
  5. Step 5: Solve for x
    x = 79,312,516,920,916,384/298,416,331.20
  6. Step 6: Final answer
    x = 265,778,071.20

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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.