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Finding the Fourth Proportional to 189,297,603.20, 283,946,404.80 and 107,668,265.60

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Solution

The fourth proportional to 189,297,603.20, 283,946,404.80 and 107,668,265.60 is: 161,502,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,297,603.20 : 283,946,404.80 = 107,668,265.60 : x
  2. Step 2: Convert to fraction form
    189,297,603.20/283,946,404.80 = 107,668,265.60/x
  3. Step 3: Cross multiply
    189,297,603.20x = 283,946,404.80 × 107,668,265.60
  4. Step 4: Simplify right side
    189,297,603.20x = 30,572,016,928,171,516
  5. Step 5: Solve for x
    x = 30,572,016,928,171,516/189,297,603.20
  6. Step 6: Final answer
    x = 161,502,398.40

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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.