Finding the Fourth Proportional to 5,780,165,782,851, 8,674,068,398,275.40 and 2,721,393,135,158
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Solution
The fourth proportional to 5,780,165,782,851, 8,674,068,398,275.40 and 2,721,393,135,158 is: 4,083,888,088,987.38
Step by Step Solution
- Step 1: Write the proportion equation
5,780,165,782,851 : 8,674,068,398,275.40 = 2,721,393,135,158 : x - Step 2: Convert to fraction form
5,780,165,782,851/8,674,068,398,275.40 = 2,721,393,135,158/x - Step 3: Cross multiply
5,780,165,782,851x = 8,674,068,398,275.40 × 2,721,393,135,158 - Step 4: Simplify right side
5,780,165,782,851x = 23,605,550,192,957,623,946,444,800 - Step 5: Solve for x
x = 23,605,550,192,957,623,946,444,800/5,780,165,782,851 - Step 6: Final answer
x = 4,083,888,088,987.38
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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.