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Finding the Fourth Proportional to 647,049,040, 970,573,560 and 216,227,536

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Solution

The fourth proportional to 647,049,040, 970,573,560 and 216,227,536 is: 324,341,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,049,040 : 970,573,560 = 216,227,536 : x
  2. Step 2: Convert to fraction form
    647,049,040/970,573,560 = 216,227,536/x
  3. Step 3: Cross multiply
    647,049,040x = 970,573,560 × 216,227,536
  4. Step 4: Simplify right side
    647,049,040x = 209,864,729,385,548,160
  5. Step 5: Solve for x
    x = 209,864,729,385,548,160/647,049,040
  6. Step 6: Final answer
    x = 324,341,304

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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.