Finding the Fourth Proportional to 16,313,336,876,788, 22,512,290,366,514 and 8,905,769,492,640
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Solution
The fourth proportional to 16,313,336,876,788, 22,512,290,366,514 and 8,905,769,492,640 is: 12,289,899,379,251.27
Step by Step Solution
- Step 1: Write the proportion equation
16,313,336,876,788 : 22,512,290,366,514 = 8,905,769,492,640 : x - Step 2: Convert to fraction form
16,313,336,876,788/22,512,290,366,514 = 8,905,769,492,640/x - Step 3: Cross multiply
16,313,336,876,788x = 22,512,290,366,514 × 8,905,769,492,640 - Step 4: Simplify right side
16,313,336,876,788x = 200,489,268,755,553,744,869,916,672 - Step 5: Solve for x
x = 200,489,268,755,553,744,869,916,672/16,313,336,876,788 - Step 6: Final answer
x = 12,289,899,379,251.27
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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.