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Finding the Fourth Proportional to 201,659,774.40, 302,237,719.20 and 147,744,100.80

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Solution

The fourth proportional to 201,659,774.40, 302,237,719.20 and 147,744,100.80 is: 221,431,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659,774.40 : 302,237,719.20 = 147,744,100.80 : x
  2. Step 2: Convert to fraction form
    201,659,774.40/302,237,719.20 = 147,744,100.80/x
  3. Step 3: Cross multiply
    201,659,774.40x = 302,237,719.20 × 147,744,100.80
  4. Step 4: Simplify right side
    201,659,774.40x = 44,653,840,051,046,896
  5. Step 5: Solve for x
    x = 44,653,840,051,046,896/201,659,774.40
  6. Step 6: Final answer
    x = 221,431,568.02

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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.