Finding the Fourth Proportional to 27,529,988,975,657, 41,274,625,483,414 and 16,648,823,604,415
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Solution
The fourth proportional to 27,529,988,975,657, 41,274,625,483,414 and 16,648,823,604,415 is: 24,960,923,871,755.84
Step by Step Solution
- Step 1: Write the proportion equation
27,529,988,975,657 : 41,274,625,483,414 = 16,648,823,604,415 : x - Step 2: Convert to fraction form
27,529,988,975,657/41,274,625,483,414 = 16,648,823,604,415/x - Step 3: Cross multiply
27,529,988,975,657x = 41,274,625,483,414 × 16,648,823,604,415 - Step 4: Simplify right side
27,529,988,975,657x = 687,173,959,011,651,891,658,489,856 - Step 5: Solve for x
x = 687,173,959,011,651,891,658,489,856/27,529,988,975,657 - Step 6: Final answer
x = 24,960,923,871,755.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.