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Finding the Fourth Proportional to 597,894,706.24, 825,119,179.72 and 377,797,825.60

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Solution

The fourth proportional to 597,894,706.24, 825,119,179.72 and 377,797,825.60 is: 521,376,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,894,706.24 : 825,119,179.72 = 377,797,825.60 : x
  2. Step 2: Convert to fraction form
    597,894,706.24/825,119,179.72 = 377,797,825.60/x
  3. Step 3: Cross multiply
    597,894,706.24x = 825,119,179.72 × 377,797,825.60
  4. Step 4: Simplify right side
    597,894,706.24x = 311,728,231,959,071,616
  5. Step 5: Solve for x
    x = 311,728,231,959,071,616/597,894,706.24
  6. Step 6: Final answer
    x = 521,376,470.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.