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Finding the Fourth Proportional to 311,490,912.15, 467,236,368.23 and 311,490,912.15

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Solution

The fourth proportional to 311,490,912.15, 467,236,368.23 and 311,490,912.15 is: 467,236,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,490,912.15 : 467,236,368.23 = 311,490,912.15 : x
  2. Step 2: Convert to fraction form
    311,490,912.15/467,236,368.23 = 311,490,912.15/x
  3. Step 3: Cross multiply
    311,490,912.15x = 467,236,368.23 × 311,490,912.15
  4. Step 4: Simplify right side
    311,490,912.15x = 145,539,882,528,058,528
  5. Step 5: Solve for x
    x = 145,539,882,528,058,528/311,490,912.15
  6. Step 6: Final answer
    x = 467,236,368.23

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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.