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Finding the Fourth Proportional to 409,068,392.90, 613,688,766.19 and 132,698,027.41

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Solution

The fourth proportional to 409,068,392.90, 613,688,766.19 and 132,698,027.41 is: 199,074,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,068,392.90 : 613,688,766.19 = 132,698,027.41 : x
  2. Step 2: Convert to fraction form
    409,068,392.90/613,688,766.19 = 132,698,027.41/x
  3. Step 3: Cross multiply
    409,068,392.90x = 613,688,766.19 × 132,698,027.41
  4. Step 4: Simplify right side
    409,068,392.90x = 81,435,288,715,223,728
  5. Step 5: Solve for x
    x = 81,435,288,715,223,728/409,068,392.90
  6. Step 6: Final answer
    x = 199,074,996.09

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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.