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Finding the Fourth Proportional to 406,865,436, 610,298,766.36 and 188,396,733.12

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Solution

The fourth proportional to 406,865,436, 610,298,766.36 and 188,396,733.12 is: 282,595,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,865,436 : 610,298,766.36 = 188,396,733.12 : x
  2. Step 2: Convert to fraction form
    406,865,436/610,298,766.36 = 188,396,733.12/x
  3. Step 3: Cross multiply
    406,865,436x = 610,298,766.36 × 188,396,733.12
  4. Step 4: Simplify right side
    406,865,436x = 114,978,293,809,390,160
  5. Step 5: Solve for x
    x = 114,978,293,809,390,160/406,865,436
  6. Step 6: Final answer
    x = 282,595,383.23

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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.