Finding the Fourth Proportional to 270,268,205.44, 405,434,194.26 and 202,541,364.40
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Solution
The fourth proportional to 270,268,205.44, 405,434,194.26 and 202,541,364.40 is: 303,835,942.32
Step by Step Solution
- Step 1: Write the proportion equation
270,268,205.44 : 405,434,194.26 = 202,541,364.40 : x - Step 2: Convert to fraction form
270,268,205.44/405,434,194.26 = 202,541,364.40/x - Step 3: Cross multiply
270,268,205.44x = 405,434,194.26 × 202,541,364.40 - Step 4: Simplify right side
270,268,205.44x = 82,117,194,879,835,056 - Step 5: Solve for x
x = 82,117,194,879,835,056/270,268,205.44 - Step 6: Final answer
x = 303,835,942.32
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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.