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Finding the Fourth Proportional to 557,638,772.80, 836,458,159.20 and 327,718,004.80

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Solution

The fourth proportional to 557,638,772.80, 836,458,159.20 and 327,718,004.80 is: 491,577,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,638,772.80 : 836,458,159.20 = 327,718,004.80 : x
  2. Step 2: Convert to fraction form
    557,638,772.80/836,458,159.20 = 327,718,004.80/x
  3. Step 3: Cross multiply
    557,638,772.80x = 836,458,159.20 × 327,718,004.80
  4. Step 4: Simplify right side
    557,638,772.80x = 274,122,399,031,704,800
  5. Step 5: Solve for x
    x = 274,122,399,031,704,800/557,638,772.80
  6. Step 6: Final answer
    x = 491,577,007.20

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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.