Finding the Fourth Proportional to 265,324,653,568.20, 397,986,980,352.30 and 218,214,322,105.80
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Solution
The fourth proportional to 265,324,653,568.20, 397,986,980,352.30 and 218,214,322,105.80 is: 327,321,483,158.70
Step by Step Solution
- Step 1: Write the proportion equation
265,324,653,568.20 : 397,986,980,352.30 = 218,214,322,105.80 : x - Step 2: Convert to fraction form
265,324,653,568.20/397,986,980,352.30 = 218,214,322,105.80/x - Step 3: Cross multiply
265,324,653,568.20x = 397,986,980,352.30 × 218,214,322,105.80 - Step 4: Simplify right side
265,324,653,568.20x = 86,846,459,124,511,485,722,624 - Step 5: Solve for x
x = 86,846,459,124,511,485,722,624/265,324,653,568.20 - Step 6: Final answer
x = 327,321,483,158.70
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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.