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Finding the Fourth Proportional to 406,993,887.98, 610,741,938.51 and 188,603,523.44

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Solution

The fourth proportional to 406,993,887.98, 610,741,938.51 and 188,603,523.44 is: 283,021,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,993,887.98 : 610,741,938.51 = 188,603,523.44 : x
  2. Step 2: Convert to fraction form
    406,993,887.98/610,741,938.51 = 188,603,523.44/x
  3. Step 3: Cross multiply
    406,993,887.98x = 610,741,938.51 × 188,603,523.44
  4. Step 4: Simplify right side
    406,993,887.98x = 115,188,081,512,508,112
  5. Step 5: Solve for x
    x = 115,188,081,512,508,112/406,993,887.98
  6. Step 6: Final answer
    x = 283,021,649.50

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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.