Finding the Fourth Proportional to 10,086,790,988,279, 13,919,784,987,398 and 5,462,291,113,911
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Solution
The fourth proportional to 10,086,790,988,279, 13,919,784,987,398 and 5,462,291,113,911 is: 7,537,969,006,452.93
Step by Step Solution
- Step 1: Write the proportion equation
10,086,790,988,279 : 13,919,784,987,398 = 5,462,291,113,911 : x - Step 2: Convert to fraction form
10,086,790,988,279/13,919,784,987,398 = 5,462,291,113,911/x - Step 3: Cross multiply
10,086,790,988,279x = 13,919,784,987,398 × 5,462,291,113,911 - Step 4: Simplify right side
10,086,790,988,279x = 76,033,917,844,215,833,544,359,936 - Step 5: Solve for x
x = 76,033,917,844,215,833,544,359,936/10,086,790,988,279 - Step 6: Final answer
x = 7,537,969,006,452.93
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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.