Finding the Fourth Proportional to 30,370,889,510,967, 41,911,794,962,442 and 16,497,376,328,145
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Solution
The fourth proportional to 30,370,889,510,967, 41,911,794,962,442 and 16,497,376,328,145 is: 22,766,361,644,882.97
Step by Step Solution
- Step 1: Write the proportion equation
30,370,889,510,967 : 41,911,794,962,442 = 16,497,376,328,145 : x - Step 2: Convert to fraction form
30,370,889,510,967/41,911,794,962,442 = 16,497,376,328,145/x - Step 3: Cross multiply
30,370,889,510,967x = 41,911,794,962,442 × 16,497,376,328,145 - Step 4: Simplify right side
30,370,889,510,967x = 691,434,654,083,457,525,483,569,152 - Step 5: Solve for x
x = 691,434,654,083,457,525,483,569,152/30,370,889,510,967 - Step 6: Final answer
x = 22,766,361,644,882.97
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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.