Finding the Fourth Proportional to 47,240,867,534,824, 71,215,381,300,976 and 44,091,778,203,064
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Solution
The fourth proportional to 47,240,867,534,824, 71,215,381,300,976 and 44,091,778,203,064 is: 66,468,144,232,418.65
Step by Step Solution
- Step 1: Write the proportion equation
47,240,867,534,824 : 71,215,381,300,976 = 44,091,778,203,064 : x - Step 2: Convert to fraction form
47,240,867,534,824/71,215,381,300,976 = 44,091,778,203,064/x - Step 3: Cross multiply
47,240,867,534,824x = 71,215,381,300,976 × 44,091,778,203,064 - Step 4: Simplify right side
47,240,867,534,824x = 3,140,012,796,969,265,070,855,946,240 - Step 5: Solve for x
x = 3,140,012,796,969,265,070,855,946,240/47,240,867,534,824 - Step 6: Final answer
x = 66,468,144,232,418.65
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.