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Finding the Fourth Proportional to 201,659,793.90, 302,237,748.45 and 147,744,120.30

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Solution

The fourth proportional to 201,659,793.90, 302,237,748.45 and 147,744,120.30 is: 221,431,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659,793.90 : 302,237,748.45 = 147,744,120.30 : x
  2. Step 2: Convert to fraction form
    201,659,793.90/302,237,748.45 = 147,744,120.30/x
  3. Step 3: Cross multiply
    201,659,793.90x = 302,237,748.45 × 147,744,120.30
  4. Step 4: Simplify right side
    201,659,793.90x = 44,653,850,266,197,944
  5. Step 5: Solve for x
    x = 44,653,850,266,197,944/201,659,793.90
  6. Step 6: Final answer
    x = 221,431,597.26

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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.