Finding the Fourth Proportional to 14,596,384,288,503, 20,143,030,265,072 and 7,922,045,914,263
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Solution
The fourth proportional to 14,596,384,288,503, 20,143,030,265,072 and 7,922,045,914,263 is: 10,932,434,187,689.88
Step by Step Solution
- Step 1: Write the proportion equation
14,596,384,288,503 : 20,143,030,265,072 = 7,922,045,914,263 : x - Step 2: Convert to fraction form
14,596,384,288,503/20,143,030,265,072 = 7,922,045,914,263/x - Step 3: Cross multiply
14,596,384,288,503x = 20,143,030,265,072 × 7,922,045,914,263 - Step 4: Simplify right side
14,596,384,288,503x = 159,574,010,612,289,589,810,823,168 - Step 5: Solve for x
x = 159,574,010,612,289,589,810,823,168/14,596,384,288,503 - Step 6: Final answer
x = 10,932,434,187,689.88
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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.