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Finding the Fourth Proportional to 133,644,908.40, 200,467,362.60 and 101,794,412.40

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Solution

The fourth proportional to 133,644,908.40, 200,467,362.60 and 101,794,412.40 is: 152,691,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,644,908.40 : 200,467,362.60 = 101,794,412.40 : x
  2. Step 2: Convert to fraction form
    133,644,908.40/200,467,362.60 = 101,794,412.40/x
  3. Step 3: Cross multiply
    133,644,908.40x = 200,467,362.60 × 101,794,412.40
  4. Step 4: Simplify right side
    133,644,908.40x = 20,406,457,381,244,736
  5. Step 5: Solve for x
    x = 20,406,457,381,244,736/133,644,908.40
  6. Step 6: Final answer
    x = 152,691,618.60

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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.