Finding the Fourth Proportional to 27,680,044,465,876, 38,194,950,489,912 and 15,176,484,219,778
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Solution
The fourth proportional to 27,680,044,465,876, 38,194,950,489,912 and 15,176,484,219,778 is: 20,941,623,273,039.30
Step by Step Solution
- Step 1: Write the proportion equation
27,680,044,465,876 : 38,194,950,489,912 = 15,176,484,219,778 : x - Step 2: Convert to fraction form
27,680,044,465,876/38,194,950,489,912 = 15,176,484,219,778/x - Step 3: Cross multiply
27,680,044,465,876x = 38,194,950,489,912 × 15,176,484,219,778 - Step 4: Simplify right side
27,680,044,465,876x = 579,665,063,385,351,438,102,167,552 - Step 5: Solve for x
x = 579,665,063,385,351,438,102,167,552/27,680,044,465,876 - Step 6: Final answer
x = 20,941,623,273,039.30
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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.