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Finding the Fourth Proportional to 133,787,209.10, 200,680,813.65 and 133,787,209.10

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Solution

The fourth proportional to 133,787,209.10, 200,680,813.65 and 133,787,209.10 is: 200,680,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,787,209.10 : 200,680,813.65 = 133,787,209.10 : x
  2. Step 2: Convert to fraction form
    133,787,209.10/200,680,813.65 = 133,787,209.10/x
  3. Step 3: Cross multiply
    133,787,209.10x = 200,680,813.65 × 133,787,209.10
  4. Step 4: Simplify right side
    133,787,209.10x = 26,848,525,978,150,684
  5. Step 5: Solve for x
    x = 26,848,525,978,150,684/133,787,209.10
  6. Step 6: Final answer
    x = 200,680,813.65

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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.