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Finding the Fourth Proportional to 196,356,563,662.60, 270,978,743,768.40 and 113,950,943,078.67

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Solution

The fourth proportional to 196,356,563,662.60, 270,978,743,768.40 and 113,950,943,078.67 is: 157,256,181,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,356,563,662.60 : 270,978,743,768.40 = 113,950,943,078.67 : x
  2. Step 2: Convert to fraction form
    196,356,563,662.60/270,978,743,768.40 = 113,950,943,078.67/x
  3. Step 3: Cross multiply
    196,356,563,662.60x = 270,978,743,768.40 × 113,950,943,078.67
  4. Step 4: Simplify right side
    196,356,563,662.60x = 30,878,283,406,682,452,131,840
  5. Step 5: Solve for x
    x = 30,878,283,406,682,452,131,840/196,356,563,662.60
  6. Step 6: Final answer
    x = 157,256,181,462.52

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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.