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Finding the Fourth Proportional to 209,954,872.80, 314,932,309.20 and 123,648,854.40

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Solution

The fourth proportional to 209,954,872.80, 314,932,309.20 and 123,648,854.40 is: 185,473,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954,872.80 : 314,932,309.20 = 123,648,854.40 : x
  2. Step 2: Convert to fraction form
    209,954,872.80/314,932,309.20 = 123,648,854.40/x
  3. Step 3: Cross multiply
    209,954,872.80x = 314,932,309.20 × 123,648,854.40
  4. Step 4: Simplify right side
    209,954,872.80x = 38,941,019,246,126,584
  5. Step 5: Solve for x
    x = 38,941,019,246,126,584/209,954,872.80
  6. Step 6: Final answer
    x = 185,473,281.60

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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.