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Finding the Fourth Proportional to 342,274,136.40, 513,411,204.60 and 342,274,136.40

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Solution

The fourth proportional to 342,274,136.40, 513,411,204.60 and 342,274,136.40 is: 513,411,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,274,136.40 : 513,411,204.60 = 342,274,136.40 : x
  2. Step 2: Convert to fraction form
    342,274,136.40/513,411,204.60 = 342,274,136.40/x
  3. Step 3: Cross multiply
    342,274,136.40x = 513,411,204.60 × 342,274,136.40
  4. Step 4: Simplify right side
    342,274,136.40x = 175,727,376,672,548,704
  5. Step 5: Solve for x
    x = 175,727,376,672,548,704/342,274,136.40
  6. Step 6: Final answer
    x = 513,411,204.60

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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.