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Finding the Fourth Proportional to 341,754,613.16, 512,635,133.82 and 82,972,106.60

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Solution

The fourth proportional to 341,754,613.16, 512,635,133.82 and 82,972,106.60 is: 124,458,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,754,613.16 : 512,635,133.82 = 82,972,106.60 : x
  2. Step 2: Convert to fraction form
    341,754,613.16/512,635,133.82 = 82,972,106.60/x
  3. Step 3: Cross multiply
    341,754,613.16x = 512,635,133.82 × 82,972,106.60
  4. Step 4: Simplify right side
    341,754,613.16x = 42,534,416,970,218,304
  5. Step 5: Solve for x
    x = 42,534,416,970,218,304/341,754,613.16
  6. Step 6: Final answer
    x = 124,458,940.22

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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.