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Finding the Fourth Proportional to 433,571,902.56, 650,253,720.78 and 200,178,369.66

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Solution

The fourth proportional to 433,571,902.56, 650,253,720.78 and 200,178,369.66 is: 300,219,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,571,902.56 : 650,253,720.78 = 200,178,369.66 : x
  2. Step 2: Convert to fraction form
    433,571,902.56/650,253,720.78 = 200,178,369.66/x
  3. Step 3: Cross multiply
    433,571,902.56x = 650,253,720.78 × 200,178,369.66
  4. Step 4: Simplify right side
    433,571,902.56x = 130,166,729,691,089,248
  5. Step 5: Solve for x
    x = 130,166,729,691,089,248/433,571,902.56
  6. Step 6: Final answer
    x = 300,219,476.68

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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.