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Finding the Fourth Proportional to 296,990,221.60, 409,840,340.88 and 164,823,542.20

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Solution

The fourth proportional to 296,990,221.60, 409,840,340.88 and 164,823,542.20 is: 227,453,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,990,221.60 : 409,840,340.88 = 164,823,542.20 : x
  2. Step 2: Convert to fraction form
    296,990,221.60/409,840,340.88 = 164,823,542.20/x
  3. Step 3: Cross multiply
    296,990,221.60x = 409,840,340.88 × 164,823,542.20
  4. Step 4: Simplify right side
    296,990,221.60x = 67,551,336,720,297,056
  5. Step 5: Solve for x
    x = 67,551,336,720,297,056/296,990,221.60
  6. Step 6: Final answer
    x = 227,453,066.83

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