Finding the Fourth Proportional to 10,876,394,992,840, 15,016,200,096,430 and 6,923,462,657,634
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Solution
The fourth proportional to 10,876,394,992,840, 15,016,200,096,430 and 6,923,462,657,634 is: 9,558,691,155,997.32
Step by Step Solution
- Step 1: Write the proportion equation
10,876,394,992,840 : 15,016,200,096,430 = 6,923,462,657,634 : x - Step 2: Convert to fraction form
10,876,394,992,840/15,016,200,096,430 = 6,923,462,657,634/x - Step 3: Cross multiply
10,876,394,992,840x = 15,016,200,096,430 × 6,923,462,657,634 - Step 4: Simplify right side
10,876,394,992,840x = 103,964,100,627,193,183,086,837,760 - Step 5: Solve for x
x = 103,964,100,627,193,183,086,837,760/10,876,394,992,840 - Step 6: Final answer
x = 9,558,691,155,997.32
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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.