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Finding the Fourth Proportional to 311,461,409.40, 467,192,114.10 and 311,461,409.40

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Solution

The fourth proportional to 311,461,409.40, 467,192,114.10 and 311,461,409.40 is: 467,192,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,461,409.40 : 467,192,114.10 = 311,461,409.40 : x
  2. Step 2: Convert to fraction form
    311,461,409.40/467,192,114.10 = 311,461,409.40/x
  3. Step 3: Cross multiply
    311,461,409.40x = 467,192,114.10 × 311,461,409.40
  4. Step 4: Simplify right side
    311,461,409.40x = 145,512,314,318,151,616
  5. Step 5: Solve for x
    x = 145,512,314,318,151,616/311,461,409.40
  6. Step 6: Final answer
    x = 467,192,114.10

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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.