Finding the Fourth Proportional to 1,686,449,464,231.20, 2,327,300,260,639.30 and 964,685,093,224.14
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Solution
The fourth proportional to 1,686,449,464,231.20, 2,327,300,260,639.30 and 964,685,093,224.14 is: 1,331,265,428,649.45
Step by Step Solution
- Step 1: Write the proportion equation
1,686,449,464,231.20 : 2,327,300,260,639.30 = 964,685,093,224.14 : x - Step 2: Convert to fraction form
1,686,449,464,231.20/2,327,300,260,639.30 = 964,685,093,224.14/x - Step 3: Cross multiply
1,686,449,464,231.20x = 2,327,300,260,639.30 × 964,685,093,224.14 - Step 4: Simplify right side
1,686,449,464,231.20x = 2,245,111,868,895,388,365,750,272 - Step 5: Solve for x
x = 2,245,111,868,895,388,365,750,272/1,686,449,464,231.20 - Step 6: Final answer
x = 1,331,265,428,649.45
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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.