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Finding the Fourth Proportional to 406,865,431.50, 610,298,759.61 and 188,396,728.62

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Solution

The fourth proportional to 406,865,431.50, 610,298,759.61 and 188,396,728.62 is: 282,595,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,865,431.50 : 610,298,759.61 = 188,396,728.62 : x
  2. Step 2: Convert to fraction form
    406,865,431.50/610,298,759.61 = 188,396,728.62/x
  3. Step 3: Cross multiply
    406,865,431.50x = 610,298,759.61 × 188,396,728.62
  4. Step 4: Simplify right side
    406,865,431.50x = 114,978,289,791,367,792
  5. Step 5: Solve for x
    x = 114,978,289,791,367,792/406,865,431.50
  6. Step 6: Final answer
    x = 282,595,376.48

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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.