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Finding the Fourth Proportional to 201,017,564.10, 301,440,651.29 and 76,498,944.90

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Solution

The fourth proportional to 201,017,564.10, 301,440,651.29 and 76,498,944.90 is: 114,715,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,017,564.10 : 301,440,651.29 = 76,498,944.90 : x
  2. Step 2: Convert to fraction form
    201,017,564.10/301,440,651.29 = 76,498,944.90/x
  3. Step 3: Cross multiply
    201,017,564.10x = 301,440,651.29 × 76,498,944.90
  4. Step 4: Simplify right side
    201,017,564.10x = 23,059,891,773,653,828
  5. Step 5: Solve for x
    x = 23,059,891,773,653,828/201,017,564.10
  6. Step 6: Final answer
    x = 114,715,805.44

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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.