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Finding the Fourth Proportional to 342,144,233.20, 513,216,349.80 and 342,144,233.20

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Solution

The fourth proportional to 342,144,233.20, 513,216,349.80 and 342,144,233.20 is: 513,216,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,144,233.20 : 513,216,349.80 = 342,144,233.20 : x
  2. Step 2: Convert to fraction form
    342,144,233.20/513,216,349.80 = 342,144,233.20/x
  3. Step 3: Cross multiply
    342,144,233.20x = 513,216,349.80 × 342,144,233.20
  4. Step 4: Simplify right side
    342,144,233.20x = 175,594,014,468,023,968
  5. Step 5: Solve for x
    x = 175,594,014,468,023,968/342,144,233.20
  6. Step 6: Final answer
    x = 513,216,349.80

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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.