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Finding the Fourth Proportional to 9,700,607.78, 14,546,908.10 and 3,311,375.30

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Solution

The fourth proportional to 9,700,607.78, 14,546,908.10 and 3,311,375.30 is: 4,965,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,607.78 : 14,546,908.10 = 3,311,375.30 : x
  2. Step 2: Convert to fraction form
    9,700,607.78/14,546,908.10 = 3,311,375.30/x
  3. Step 3: Cross multiply
    9,700,607.78x = 14,546,908.10 × 3,311,375.30
  4. Step 4: Simplify right side
    9,700,607.78x = 48,170,272,109,253.82
  5. Step 5: Solve for x
    x = 48,170,272,109,253.82/9,700,607.78
  6. Step 6: Final answer
    x = 4,965,696.30

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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.