Finding the Fourth Proportional to 32,401,274,898,108, 44,713,792,451,604 and 17,586,143,185,694
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Solution
The fourth proportional to 32,401,274,898,108, 44,713,792,451,604 and 17,586,143,185,694 is: 24,268,895,557,416.11
Step by Step Solution
- Step 1: Write the proportion equation
32,401,274,898,108 : 44,713,792,451,604 = 17,586,143,185,694 : x - Step 2: Convert to fraction form
32,401,274,898,108/44,713,792,451,604 = 17,586,143,185,694/x - Step 3: Cross multiply
32,401,274,898,108x = 44,713,792,451,604 × 17,586,143,185,694 - Step 4: Simplify right side
32,401,274,898,108x = 786,343,156,429,311,532,299,452,416 - Step 5: Solve for x
x = 786,343,156,429,311,532,299,452,416/32,401,274,898,108 - Step 6: Final answer
x = 24,268,895,557,416.11
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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.