Finding the Fourth Proportional to 3,912,264,397,471.30, 5,871,077,197,323.50 and 1,365,433,986,840
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Solution
The fourth proportional to 3,912,264,397,471.30, 5,871,077,197,323.50 and 1,365,433,986,840 is: 2,049,086,546,852.09
Step by Step Solution
- Step 1: Write the proportion equation
3,912,264,397,471.30 : 5,871,077,197,323.50 = 1,365,433,986,840 : x - Step 2: Convert to fraction form
3,912,264,397,471.30/5,871,077,197,323.50 = 1,365,433,986,840/x - Step 3: Cross multiply
3,912,264,397,471.30x = 5,871,077,197,323.50 × 1,365,433,986,840 - Step 4: Simplify right side
3,912,264,397,471.30x = 8,016,568,344,586,839,591,485,440 - Step 5: Solve for x
x = 8,016,568,344,586,839,591,485,440/3,912,264,397,471.30 - Step 6: Final answer
x = 2,049,086,546,852.09
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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.