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Finding the Fourth Proportional to 327,564,530,181.15, 491,346,795,271.72 and 327,564,530,181.15

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Solution

The fourth proportional to 327,564,530,181.15, 491,346,795,271.72 and 327,564,530,181.15 is: 491,346,795,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564,530,181.15 : 491,346,795,271.72 = 327,564,530,181.15 : x
  2. Step 2: Convert to fraction form
    327,564,530,181.15/491,346,795,271.72 = 327,564,530,181.15/x
  3. Step 3: Cross multiply
    327,564,530,181.15x = 491,346,795,271.72 × 327,564,530,181.15
  4. Step 4: Simplify right side
    327,564,530,181.15x = 160,947,782,149,194,660,184,064
  5. Step 5: Solve for x
    x = 160,947,782,149,194,660,184,064/327,564,530,181.15
  6. Step 6: Final answer
    x = 491,346,795,271.72

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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.