Finding the Fourth Proportional to 27,529,988,975,656, 41,274,625,483,412 and 16,648,823,604,414
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Solution
The fourth proportional to 27,529,988,975,656, 41,274,625,483,412 and 16,648,823,604,414 is: 24,960,923,871,754.04
Step by Step Solution
- Step 1: Write the proportion equation
27,529,988,975,656 : 41,274,625,483,412 = 16,648,823,604,414 : x - Step 2: Convert to fraction form
27,529,988,975,656/41,274,625,483,412 = 16,648,823,604,414/x - Step 3: Cross multiply
27,529,988,975,656x = 41,274,625,483,412 × 16,648,823,604,414 - Step 4: Simplify right side
27,529,988,975,656x = 687,173,959,011,577,262,306,754,560 - Step 5: Solve for x
x = 687,173,959,011,577,262,306,754,560/27,529,988,975,656 - Step 6: Final answer
x = 24,960,923,871,754.04
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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.