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Finding the Fourth Proportional to 133,596,388.80, 200,394,583.20 and 133,596,388.80

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Solution

The fourth proportional to 133,596,388.80, 200,394,583.20 and 133,596,388.80 is: 200,394,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596,388.80 : 200,394,583.20 = 133,596,388.80 : x
  2. Step 2: Convert to fraction form
    133,596,388.80/200,394,583.20 = 133,596,388.80/x
  3. Step 3: Cross multiply
    133,596,388.80x = 200,394,583.20 × 133,596,388.80
  4. Step 4: Simplify right side
    133,596,388.80x = 26,771,992,650,601,144
  5. Step 5: Solve for x
    x = 26,771,992,650,601,144/133,596,388.80
  6. Step 6: Final answer
    x = 200,394,583.20

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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.