Finding the Fourth Proportional to 10,707,203,319,517, 14,775,990,618,704 and 6,082,949,215,058
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Solution
The fourth proportional to 10,707,203,319,517, 14,775,990,618,704 and 6,082,949,215,058 is: 8,394,498,344,111.43
Step by Step Solution
- Step 1: Write the proportion equation
10,707,203,319,517 : 14,775,990,618,704 = 6,082,949,215,058 : x - Step 2: Convert to fraction form
10,707,203,319,517/14,775,990,618,704 = 6,082,949,215,058/x - Step 3: Cross multiply
10,707,203,319,517x = 14,775,990,618,704 × 6,082,949,215,058 - Step 4: Simplify right side
10,707,203,319,517x = 89,881,600,535,749,872,117,088,256 - Step 5: Solve for x
x = 89,881,600,535,749,872,117,088,256/10,707,203,319,517 - Step 6: Final answer
x = 8,394,498,344,111.43
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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.