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Finding the Fourth Proportional to 206,896,027.80, 310,344,041.70 and 169,907,734.20

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Solution

The fourth proportional to 206,896,027.80, 310,344,041.70 and 169,907,734.20 is: 254,861,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896,027.80 : 310,344,041.70 = 169,907,734.20 : x
  2. Step 2: Convert to fraction form
    206,896,027.80/310,344,041.70 = 169,907,734.20/x
  3. Step 3: Cross multiply
    206,896,027.80x = 310,344,041.70 × 169,907,734.20
  4. Step 4: Simplify right side
    206,896,027.80x = 52,729,852,947,717,312
  5. Step 5: Solve for x
    x = 52,729,852,947,717,312/206,896,027.80
  6. Step 6: Final answer
    x = 254,861,601.30

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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.