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Finding the Fourth Proportional to 313,374,439.40, 470,136,308.70 and 151,683,405.80

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Solution

The fourth proportional to 313,374,439.40, 470,136,308.70 and 151,683,405.80 is: 227,561,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,374,439.40 : 470,136,308.70 = 151,683,405.80 : x
  2. Step 2: Convert to fraction form
    313,374,439.40/470,136,308.70 = 151,683,405.80/x
  3. Step 3: Cross multiply
    313,374,439.40x = 470,136,308.70 × 151,683,405.80
  4. Step 4: Simplify right side
    313,374,439.40x = 71,311,876,493,856,176
  5. Step 5: Solve for x
    x = 71,311,876,493,856,176/313,374,439.40
  6. Step 6: Final answer
    x = 227,561,241.53

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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.