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Finding the Fourth Proportional to 327,456,431.40, 491,184,647.10 and 327,456,431.40

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Solution

The fourth proportional to 327,456,431.40, 491,184,647.10 and 327,456,431.40 is: 491,184,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,456,431.40 : 491,184,647.10 = 327,456,431.40 : x
  2. Step 2: Convert to fraction form
    327,456,431.40/491,184,647.10 = 327,456,431.40/x
  3. Step 3: Cross multiply
    327,456,431.40x = 491,184,647.10 × 327,456,431.40
  4. Step 4: Simplify right side
    327,456,431.40x = 160,841,571,697,834,368
  5. Step 5: Solve for x
    x = 160,841,571,697,834,368/327,456,431.40
  6. Step 6: Final answer
    x = 491,184,647.10

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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.