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Finding the Fourth Proportional to 360,499,087.50, 497,509,590.53 and 201,727,824.33

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Solution

The fourth proportional to 360,499,087.50, 497,509,590.53 and 201,727,824.33 is: 278,396,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,499,087.50 : 497,509,590.53 = 201,727,824.33 : x
  2. Step 2: Convert to fraction form
    360,499,087.50/497,509,590.53 = 201,727,824.33/x
  3. Step 3: Cross multiply
    360,499,087.50x = 497,509,590.53 × 201,727,824.33
  4. Step 4: Simplify right side
    360,499,087.50x = 100,361,527,280,926,080
  5. Step 5: Solve for x
    x = 100,361,527,280,926,080/360,499,087.50
  6. Step 6: Final answer
    x = 278,396,064.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.