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Finding the Fourth Proportional to 206,676,289.80, 310,014,434.70 and 137,801,536.20

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Solution

The fourth proportional to 206,676,289.80, 310,014,434.70 and 137,801,536.20 is: 206,702,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,676,289.80 : 310,014,434.70 = 137,801,536.20 : x
  2. Step 2: Convert to fraction form
    206,676,289.80/310,014,434.70 = 137,801,536.20/x
  3. Step 3: Cross multiply
    206,676,289.80x = 310,014,434.70 × 137,801,536.20
  4. Step 4: Simplify right side
    206,676,289.80x = 42,720,465,345,834,584
  5. Step 5: Solve for x
    x = 42,720,465,345,834,584/206,676,289.80
  6. Step 6: Final answer
    x = 206,702,304.30

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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.