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Finding the Fourth Proportional to 513,068,110.20, 769,602,165.30 and 513,068,110.20

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Solution

The fourth proportional to 513,068,110.20, 769,602,165.30 and 513,068,110.20 is: 769,602,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,068,110.20 : 769,602,165.30 = 513,068,110.20 : x
  2. Step 2: Convert to fraction form
    513,068,110.20/769,602,165.30 = 513,068,110.20/x
  3. Step 3: Cross multiply
    513,068,110.20x = 769,602,165.30 × 513,068,110.20
  4. Step 4: Simplify right side
    513,068,110.20x = 394,858,328,556,299,008
  5. Step 5: Solve for x
    x = 394,858,328,556,299,008/513,068,110.20
  6. Step 6: Final answer
    x = 769,602,165.30

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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.