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Finding the Fourth Proportional to 209,954,873.80, 314,932,310.70 and 188,791,712.20

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Solution

The fourth proportional to 209,954,873.80, 314,932,310.70 and 188,791,712.20 is: 283,187,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954,873.80 : 314,932,310.70 = 188,791,712.20 : x
  2. Step 2: Convert to fraction form
    209,954,873.80/314,932,310.70 = 188,791,712.20/x
  3. Step 3: Cross multiply
    209,954,873.80x = 314,932,310.70 × 188,791,712.20
  4. Step 4: Simplify right side
    209,954,873.80x = 59,456,610,164,155,376
  5. Step 5: Solve for x
    x = 59,456,610,164,155,376/209,954,873.80
  6. Step 6: Final answer
    x = 283,187,568.30

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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.