Finding the Fourth Proportional to 17,786,491,455,730, 26,559,962,673,668 and 14,525,651,198,064
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Solution
The fourth proportional to 17,786,491,455,730, 26,559,962,673,668 and 14,525,651,198,064 is: 21,690,660,836,148.95
Step by Step Solution
- Step 1: Write the proportion equation
17,786,491,455,730 : 26,559,962,673,668 = 14,525,651,198,064 : x - Step 2: Convert to fraction form
17,786,491,455,730/26,559,962,673,668 = 14,525,651,198,064/x - Step 3: Cross multiply
17,786,491,455,730x = 26,559,962,673,668 × 14,525,651,198,064 - Step 4: Simplify right side
17,786,491,455,730x = 385,800,753,631,300,723,553,599,488 - Step 5: Solve for x
x = 385,800,753,631,300,723,553,599,488/17,786,491,455,730 - Step 6: Final answer
x = 21,690,660,836,148.95
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.