Finding the Fourth Proportional to 10,191,451,726,486, 14,064,202,844,608 and 5,503,850,040,512
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Solution
The fourth proportional to 10,191,451,726,486, 14,064,202,844,608 and 5,503,850,040,512 is: 7,595,312,765,392.91
Step by Step Solution
- Step 1: Write the proportion equation
10,191,451,726,486 : 14,064,202,844,608 = 5,503,850,040,512 : x - Step 2: Convert to fraction form
10,191,451,726,486/14,064,202,844,608 = 5,503,850,040,512/x - Step 3: Cross multiply
10,191,451,726,486x = 14,064,202,844,608 × 5,503,850,040,512 - Step 4: Simplify right side
10,191,451,726,486x = 77,407,263,396,064,724,214,874,112 - Step 5: Solve for x
x = 77,407,263,396,064,724,214,874,112/10,191,451,726,486 - Step 6: Final answer
x = 7,595,312,765,392.91
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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.