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Finding the Fourth Proportional to 201,659,828.40, 302,237,800.20 and 147,744,154.80

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Solution

The fourth proportional to 201,659,828.40, 302,237,800.20 and 147,744,154.80 is: 221,431,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659,828.40 : 302,237,800.20 = 147,744,154.80 : x
  2. Step 2: Convert to fraction form
    201,659,828.40/302,237,800.20 = 147,744,154.80/x
  3. Step 3: Cross multiply
    201,659,828.40x = 302,237,800.20 × 147,744,154.80
  4. Step 4: Simplify right side
    201,659,828.40x = 44,653,868,339,160,272
  5. Step 5: Solve for x
    x = 44,653,868,339,160,272/201,659,828.40
  6. Step 6: Final answer
    x = 221,431,649.00

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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.