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Finding the Fourth Proportional to 488,509,728.80, 733,958,986.80 and 367,577,376.80

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Solution

The fourth proportional to 488,509,728.80, 733,958,986.80 and 367,577,376.80 is: 552,264,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,509,728.80 : 733,958,986.80 = 367,577,376.80 : x
  2. Step 2: Convert to fraction form
    488,509,728.80/733,958,986.80 = 367,577,376.80/x
  3. Step 3: Cross multiply
    488,509,728.80x = 733,958,986.80 × 367,577,376.80
  4. Step 4: Simplify right side
    488,509,728.80x = 269,786,719,046,729,824
  5. Step 5: Solve for x
    x = 269,786,719,046,729,824/488,509,728.80
  6. Step 6: Final answer
    x = 552,264,782.34

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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.