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Finding the Fourth Proportional to 709,227,491,313.08, 978,734,881,857 and 384,067,343,896.52

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Solution

The fourth proportional to 709,227,491,313.08, 978,734,881,857 and 384,067,343,896.52 is: 530,013,445,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,227,491,313.08 : 978,734,881,857 = 384,067,343,896.52 : x
  2. Step 2: Convert to fraction form
    709,227,491,313.08/978,734,881,857 = 384,067,343,896.52/x
  3. Step 3: Cross multiply
    709,227,491,313.08x = 978,734,881,857 × 384,067,343,896.52
  4. Step 4: Simplify right side
    709,227,491,313.08x = 375,900,106,453,692,325,036,032
  5. Step 5: Solve for x
    x = 375,900,106,453,692,325,036,032/709,227,491,313.08
  6. Step 6: Final answer
    x = 530,013,445,696.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.