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Finding the Fourth Proportional to 406,993,889.35, 610,741,940.57 and 188,603,524.81

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Solution

The fourth proportional to 406,993,889.35, 610,741,940.57 and 188,603,524.81 is: 283,021,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,993,889.35 : 610,741,940.57 = 188,603,524.81 : x
  2. Step 2: Convert to fraction form
    406,993,889.35/610,741,940.57 = 188,603,524.81/x
  3. Step 3: Cross multiply
    406,993,889.35x = 610,741,940.57 × 188,603,524.81
  4. Step 4: Simplify right side
    406,993,889.35x = 115,188,082,740,801,552
  5. Step 5: Solve for x
    x = 115,188,082,740,801,552/406,993,889.35
  6. Step 6: Final answer
    x = 283,021,651.57

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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.