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Finding the Fourth Proportional to 406,865,435, 610,298,764.86 and 188,396,732.12

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Solution

The fourth proportional to 406,865,435, 610,298,764.86 and 188,396,732.12 is: 282,595,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,865,435 : 610,298,764.86 = 188,396,732.12 : x
  2. Step 2: Convert to fraction form
    406,865,435/610,298,764.86 = 188,396,732.12/x
  3. Step 3: Cross multiply
    406,865,435x = 610,298,764.86 × 188,396,732.12
  4. Step 4: Simplify right side
    406,865,435x = 114,978,292,916,496,288
  5. Step 5: Solve for x
    x = 114,978,292,916,496,288/406,865,435
  6. Step 6: Final answer
    x = 282,595,381.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.