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Finding the Fourth Proportional to 196,356,563,657.60, 270,978,743,761.49 and 113,950,943,073.67

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Solution

The fourth proportional to 196,356,563,657.60, 270,978,743,761.49 and 113,950,943,073.67 is: 157,256,181,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,356,563,657.60 : 270,978,743,761.49 = 113,950,943,073.67 : x
  2. Step 2: Convert to fraction form
    196,356,563,657.60/270,978,743,761.49 = 113,950,943,073.67/x
  3. Step 3: Cross multiply
    196,356,563,657.60x = 270,978,743,761.49 × 113,950,943,073.67
  4. Step 4: Simplify right side
    196,356,563,657.60x = 30,878,283,404,540,156,837,888
  5. Step 5: Solve for x
    x = 30,878,283,404,540,156,837,888/196,356,563,657.60
  6. Step 6: Final answer
    x = 157,256,181,455.61

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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.