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Finding the Fourth Proportional to 206,694,331.80, 310,041,497.70 and 103,382,201.40

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Solution

The fourth proportional to 206,694,331.80, 310,041,497.70 and 103,382,201.40 is: 155,073,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,694,331.80 : 310,041,497.70 = 103,382,201.40 : x
  2. Step 2: Convert to fraction form
    206,694,331.80/310,041,497.70 = 103,382,201.40/x
  3. Step 3: Cross multiply
    206,694,331.80x = 310,041,497.70 × 103,382,201.40
  4. Step 4: Simplify right side
    206,694,331.80x = 32,052,772,557,579,036
  5. Step 5: Solve for x
    x = 32,052,772,557,579,036/206,694,331.80
  6. Step 6: Final answer
    x = 155,073,302.10

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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.