Finding the Fourth Proportional to 4,865,461,428,066, 6,714,343,419,718.50 and 2,640,681,969,993.80
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Solution
The fourth proportional to 4,865,461,428,066, 6,714,343,419,718.50 and 2,640,681,969,993.80 is: 3,644,144,727,264.84
Step by Step Solution
- Step 1: Write the proportion equation
4,865,461,428,066 : 6,714,343,419,718.50 = 2,640,681,969,993.80 : x - Step 2: Convert to fraction form
4,865,461,428,066/6,714,343,419,718.50 = 2,640,681,969,993.80/x - Step 3: Cross multiply
4,865,461,428,066x = 6,714,343,419,718.50 × 2,640,681,969,993.80 - Step 4: Simplify right side
4,865,461,428,066x = 17,730,445,608,797,155,232,841,728 - Step 5: Solve for x
x = 17,730,445,608,797,155,232,841,728/4,865,461,428,066 - Step 6: Final answer
x = 3,644,144,727,264.84
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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.