Finding the Fourth Proportional to 27,968,753,088,266, 38,608,763,577,196 and 17,426,858,755,456
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Solution
The fourth proportional to 27,968,753,088,266, 38,608,763,577,196 and 17,426,858,755,456 is: 24,056,469,999,188.75
Step by Step Solution
- Step 1: Write the proportion equation
27,968,753,088,266 : 38,608,763,577,196 = 17,426,858,755,456 : x - Step 2: Convert to fraction form
27,968,753,088,266/38,608,763,577,196 = 17,426,858,755,456/x - Step 3: Cross multiply
27,968,753,088,266x = 38,608,763,577,196 × 17,426,858,755,456 - Step 4: Simplify right side
27,968,753,088,266x = 672,829,469,582,588,836,499,685,376 - Step 5: Solve for x
x = 672,829,469,582,588,836,499,685,376/27,968,753,088,266 - Step 6: Final answer
x = 24,056,469,999,188.75
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1.5x scale
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.