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Finding the Fourth Proportional to 464,959,906.95, 641,644,706.66 and 256,116,049.60

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Solution

The fourth proportional to 464,959,906.95, 641,644,706.66 and 256,116,049.60 is: 353,440,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,959,906.95 : 641,644,706.66 = 256,116,049.60 : x
  2. Step 2: Convert to fraction form
    464,959,906.95/641,644,706.66 = 256,116,049.60/x
  3. Step 3: Cross multiply
    464,959,906.95x = 641,644,706.66 × 256,116,049.60
  4. Step 4: Simplify right side
    464,959,906.95x = 164,335,507,515,192,768
  5. Step 5: Solve for x
    x = 164,335,507,515,192,768/464,959,906.95
  6. Step 6: Final answer
    x = 353,440,167.76

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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.