Finding the Fourth Proportional to 660,212,218,755.92, 990,512,626,043.64 and 213,023,730,236.24
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Solution
The fourth proportional to 660,212,218,755.92, 990,512,626,043.64 and 213,023,730,236.24 is: 319,598,287,416.61
Step by Step Solution
- Step 1: Write the proportion equation
660,212,218,755.92 : 990,512,626,043.64 = 213,023,730,236.24 : x - Step 2: Convert to fraction form
660,212,218,755.92/990,512,626,043.64 = 213,023,730,236.24/x - Step 3: Cross multiply
660,212,218,755.92x = 990,512,626,043.64 × 213,023,730,236.24 - Step 4: Simplify right side
660,212,218,755.92x = 211,002,694,445,910,034,743,296 - Step 5: Solve for x
x = 211,002,694,445,910,034,743,296/660,212,218,755.92 - Step 6: Final answer
x = 319,598,287,416.61
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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.