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Finding the Fourth Proportional to 512,008,193.96, 706,572,535.88 and 277,061,375.55

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Solution

The fourth proportional to 512,008,193.96, 706,572,535.88 and 277,061,375.55 is: 382,345,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,008,193.96 : 706,572,535.88 = 277,061,375.55 : x
  2. Step 2: Convert to fraction form
    512,008,193.96/706,572,535.88 = 277,061,375.55/x
  3. Step 3: Cross multiply
    512,008,193.96x = 706,572,535.88 × 277,061,375.55
  4. Step 4: Simplify right side
    512,008,193.96x = 195,763,958,720,099,808
  5. Step 5: Solve for x
    x = 195,763,958,720,099,808/512,008,193.96
  6. Step 6: Final answer
    x = 382,345,362.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.