Finding the Fourth Proportional to 11,347,639,860,993, 15,659,758,109,685 and 6,145,077,502,327.50
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Solution
The fourth proportional to 11,347,639,860,993, 15,659,758,109,685 and 6,145,077,502,327.50 is: 8,480,215,131,121.99
Step by Step Solution
- Step 1: Write the proportion equation
11,347,639,860,993 : 15,659,758,109,685 = 6,145,077,502,327.50 : x - Step 2: Convert to fraction form
11,347,639,860,993/15,659,758,109,685 = 6,145,077,502,327.50/x - Step 3: Cross multiply
11,347,639,860,993x = 15,659,758,109,685 × 6,145,077,502,327.50 - Step 4: Simplify right side
11,347,639,860,993x = 96,230,427,251,715,910,278,316,032 - Step 5: Solve for x
x = 96,230,427,251,715,910,278,316,032/11,347,639,860,993 - Step 6: Final answer
x = 8,480,215,131,121.99
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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.