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Finding the Fourth Proportional to 414,080,475.80, 620,593,209.30 and 220,084,827.80

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Solution

The fourth proportional to 414,080,475.80, 620,593,209.30 and 220,084,827.80 is: 329,846,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,080,475.80 : 620,593,209.30 = 220,084,827.80 : x
  2. Step 2: Convert to fraction form
    414,080,475.80/620,593,209.30 = 220,084,827.80/x
  3. Step 3: Cross multiply
    414,080,475.80x = 620,593,209.30 × 220,084,827.80
  4. Step 4: Simplify right side
    414,080,475.80x = 136,583,149,602,639,856
  5. Step 5: Solve for x
    x = 136,583,149,602,639,856/414,080,475.80
  6. Step 6: Final answer
    x = 329,846,871.77

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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.