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Finding the Fourth Proportional to 462,241,409.70, 693,362,114.55 and 155,431,553.70

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Solution

The fourth proportional to 462,241,409.70, 693,362,114.55 and 155,431,553.70 is: 233,147,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,241,409.70 : 693,362,114.55 = 155,431,553.70 : x
  2. Step 2: Convert to fraction form
    462,241,409.70/693,362,114.55 = 155,431,553.70/x
  3. Step 3: Cross multiply
    462,241,409.70x = 693,362,114.55 × 155,431,553.70
  4. Step 4: Simplify right side
    462,241,409.70x = 107,770,350,741,223,856
  5. Step 5: Solve for x
    x = 107,770,350,741,223,856/462,241,409.70
  6. Step 6: Final answer
    x = 233,147,330.55

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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.