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Finding the Fourth Proportional to 242,477,662.80, 363,946,441.95 and 150,081,911.79

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Solution

The fourth proportional to 242,477,662.80, 363,946,441.95 and 150,081,911.79 is: 225,265,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,477,662.80 : 363,946,441.95 = 150,081,911.79 : x
  2. Step 2: Convert to fraction form
    242,477,662.80/363,946,441.95 = 150,081,911.79/x
  3. Step 3: Cross multiply
    242,477,662.80x = 363,946,441.95 × 150,081,911.79
  4. Step 4: Simplify right side
    242,477,662.80x = 54,621,777,797,024,248
  5. Step 5: Solve for x
    x = 54,621,777,797,024,248/242,477,662.80
  6. Step 6: Final answer
    x = 225,265,194.19

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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.