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Finding the Fourth Proportional to 416,992,410.02, 575,449,596.34 and 231,352,982.84

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Solution

The fourth proportional to 416,992,410.02, 575,449,596.34 and 231,352,982.84 is: 319,267,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,992,410.02 : 575,449,596.34 = 231,352,982.84 : x
  2. Step 2: Convert to fraction form
    416,992,410.02/575,449,596.34 = 231,352,982.84/x
  3. Step 3: Cross multiply
    416,992,410.02x = 575,449,596.34 × 231,352,982.84
  4. Step 4: Simplify right side
    416,992,410.02x = 133,131,980,587,332,960
  5. Step 5: Solve for x
    x = 133,131,980,587,332,960/416,992,410.02
  6. Step 6: Final answer
    x = 319,267,155.44

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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.