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Finding the Fourth Proportional to 233,838,797.20, 327,911,793.20 and 233,838,797.20

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Solution

The fourth proportional to 233,838,797.20, 327,911,793.20 and 233,838,797.20 is: 327,911,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838,797.20 : 327,911,793.20 = 233,838,797.20 : x
  2. Step 2: Convert to fraction form
    233,838,797.20/327,911,793.20 = 233,838,797.20/x
  3. Step 3: Cross multiply
    233,838,797.20x = 327,911,793.20 × 233,838,797.20
  4. Step 4: Simplify right side
    233,838,797.20x = 76,678,499,309,583,136
  5. Step 5: Solve for x
    x = 76,678,499,309,583,136/233,838,797.20
  6. Step 6: Final answer
    x = 327,911,793.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.