Finding the Fourth Proportional to 36,707,833,100,812, 50,679,675,325,414 and 23,366,686,469,490
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Solution
The fourth proportional to 36,707,833,100,812, 50,679,675,325,414 and 23,366,686,469,490 is: 32,260,582,651,453.27
Step by Step Solution
- Step 1: Write the proportion equation
36,707,833,100,812 : 50,679,675,325,414 = 23,366,686,469,490 : x - Step 2: Convert to fraction form
36,707,833,100,812/50,679,675,325,414 = 23,366,686,469,490/x - Step 3: Cross multiply
36,707,833,100,812x = 50,679,675,325,414 × 23,366,686,469,490 - Step 4: Simplify right side
36,707,833,100,812x = 1,184,216,083,704,497,525,282,045,952 - Step 5: Solve for x
x = 1,184,216,083,704,497,525,282,045,952/36,707,833,100,812 - Step 6: Final answer
x = 32,260,582,651,453.27
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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.