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Finding the Fourth Proportional to 133,593,314.10, 200,389,971.15 and 133,593,314.10

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Solution

The fourth proportional to 133,593,314.10, 200,389,971.15 and 133,593,314.10 is: 200,389,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,593,314.10 : 200,389,971.15 = 133,593,314.10 : x
  2. Step 2: Convert to fraction form
    133,593,314.10/200,389,971.15 = 133,593,314.10/x
  3. Step 3: Cross multiply
    133,593,314.10x = 200,389,971.15 × 133,593,314.10
  4. Step 4: Simplify right side
    133,593,314.10x = 26,770,760,358,331,888
  5. Step 5: Solve for x
    x = 26,770,760,358,331,888/133,593,314.10
  6. Step 6: Final answer
    x = 200,389,971.15

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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.