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Finding the Fourth Proportional to 363,888,329,622.78, 502,150,808,978.91 and 199,089,040,178.79

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Solution

The fourth proportional to 363,888,329,622.78, 502,150,808,978.91 and 199,089,040,178.79 is: 274,734,621,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,888,329,622.78 : 502,150,808,978.91 = 199,089,040,178.79 : x
  2. Step 2: Convert to fraction form
    363,888,329,622.78/502,150,808,978.91 = 199,089,040,178.79/x
  3. Step 3: Cross multiply
    363,888,329,622.78x = 502,150,808,978.91 × 199,089,040,178.79
  4. Step 4: Simplify right side
    363,888,329,622.78x = 99,972,722,584,614,114,164,736
  5. Step 5: Solve for x
    x = 99,972,722,584,614,114,164,736/363,888,329,622.78
  6. Step 6: Final answer
    x = 274,734,621,712.79

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1.5x scale

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.