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Finding the Fourth Proportional to 327,804,563.40, 491,706,845.10 and 164,545,888.20

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Solution

The fourth proportional to 327,804,563.40, 491,706,845.10 and 164,545,888.20 is: 246,818,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,804,563.40 : 491,706,845.10 = 164,545,888.20 : x
  2. Step 2: Convert to fraction form
    327,804,563.40/491,706,845.10 = 164,545,888.20/x
  3. Step 3: Cross multiply
    327,804,563.40x = 491,706,845.10 × 164,545,888.20
  4. Step 4: Simplify right side
    327,804,563.40x = 80,908,339,560,999,312
  5. Step 5: Solve for x
    x = 80,908,339,560,999,312/327,804,563.40
  6. Step 6: Final answer
    x = 246,818,832.30

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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.