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Finding the Fourth Proportional to 133,607,645.35, 200,411,468.03 and 133,607,645.35

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Solution

The fourth proportional to 133,607,645.35, 200,411,468.03 and 133,607,645.35 is: 200,411,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,607,645.35 : 200,411,468.03 = 133,607,645.35 : x
  2. Step 2: Convert to fraction form
    133,607,645.35/200,411,468.03 = 133,607,645.35/x
  3. Step 3: Cross multiply
    133,607,645.35x = 200,411,468.03 × 133,607,645.35
  4. Step 4: Simplify right side
    133,607,645.35x = 26,776,504,344,625,104
  5. Step 5: Solve for x
    x = 26,776,504,344,625,104/133,607,645.35
  6. Step 6: Final answer
    x = 200,411,468.03

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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.