Finding the Fourth Proportional to 10,311,103,255,110, 14,229,336,603,677 and 5,623,513,353,126.70
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Solution
The fourth proportional to 10,311,103,255,110, 14,229,336,603,677 and 5,623,513,353,126.70 is: 7,760,456,123,573.02
Step by Step Solution
- Step 1: Write the proportion equation
10,311,103,255,110 : 14,229,336,603,677 = 5,623,513,353,126.70 : x - Step 2: Convert to fraction form
10,311,103,255,110/14,229,336,603,677 = 5,623,513,353,126.70/x - Step 3: Cross multiply
10,311,103,255,110x = 14,229,336,603,677 × 5,623,513,353,126.70 - Step 4: Simplify right side
10,311,103,255,110x = 80,018,864,396,912,131,670,278,144 - Step 5: Solve for x
x = 80,018,864,396,912,131,670,278,144/10,311,103,255,110 - Step 6: Final answer
x = 7,760,456,123,573.02
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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.