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Finding the Fourth Proportional to 414,083,894.80, 620,598,337.80 and 220,088,246.80

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Solution

The fourth proportional to 414,083,894.80, 620,598,337.80 and 220,088,246.80 is: 329,851,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,083,894.80 : 620,598,337.80 = 220,088,246.80 : x
  2. Step 2: Convert to fraction form
    414,083,894.80/620,598,337.80 = 220,088,246.80/x
  3. Step 3: Cross multiply
    414,083,894.80x = 620,598,337.80 × 220,088,246.80
  4. Step 4: Simplify right side
    414,083,894.80x = 136,586,400,133,396,160
  5. Step 5: Solve for x
    x = 136,586,400,133,396,160/414,083,894.80
  6. Step 6: Final answer
    x = 329,851,998.23

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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.