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Finding the Fourth Proportional to 409,658,014.08, 613,839,843.84 and 332,604,580.80

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Solution

The fourth proportional to 409,658,014.08, 613,839,843.84 and 332,604,580.80 is: 498,381,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,658,014.08 : 613,839,843.84 = 332,604,580.80 : x
  2. Step 2: Convert to fraction form
    409,658,014.08/613,839,843.84 = 332,604,580.80/x
  3. Step 3: Cross multiply
    409,658,014.08x = 613,839,843.84 × 332,604,580.80
  4. Step 4: Simplify right side
    409,658,014.08x = 204,165,943,938,740,672
  5. Step 5: Solve for x
    x = 204,165,943,938,740,672/409,658,014.08
  6. Step 6: Final answer
    x = 498,381,422.85

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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.