Finding the Fourth Proportional to 8,192,131,169.40, 11,305,160,665.14 and 4,432,982,074.92
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Solution
The fourth proportional to 8,192,131,169.40, 11,305,160,665.14 and 4,432,982,074.92 is: 6,117,525,897.27
Step by Step Solution
- Step 1: Write the proportion equation
8,192,131,169.40 : 11,305,160,665.14 = 4,432,982,074.92 : x - Step 2: Convert to fraction form
8,192,131,169.40/11,305,160,665.14 = 4,432,982,074.92/x - Step 3: Cross multiply
8,192,131,169.40x = 11,305,160,665.14 × 4,432,982,074.92 - Step 4: Simplify right side
8,192,131,169.40x = 50,115,574,582,656,286,720 - Step 5: Solve for x
x = 50,115,574,582,656,286,720/8,192,131,169.40 - Step 6: Final answer
x = 6,117,525,897.27
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1.5x scale
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.