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Finding the Fourth Proportional to 133,842,693.40, 200,764,040.10 and 99,830,469.40

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Solution

The fourth proportional to 133,842,693.40, 200,764,040.10 and 99,830,469.40 is: 149,745,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842,693.40 : 200,764,040.10 = 99,830,469.40 : x
  2. Step 2: Convert to fraction form
    133,842,693.40/200,764,040.10 = 99,830,469.40/x
  3. Step 3: Cross multiply
    133,842,693.40x = 200,764,040.10 × 99,830,469.40
  4. Step 4: Simplify right side
    133,842,693.40x = 20,042,368,361,823,424
  5. Step 5: Solve for x
    x = 20,042,368,361,823,424/133,842,693.40
  6. Step 6: Final answer
    x = 149,745,704.10

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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.