Finding the Fourth Proportional to 160,425,929,414.42, 221,393,091,934.11 and 88,170,555,389.09
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Solution
The fourth proportional to 160,425,929,414.42, 221,393,091,934.11 and 88,170,555,389.09 is: 121,678,284,466.79
Step by Step Solution
- Step 1: Write the proportion equation
160,425,929,414.42 : 221,393,091,934.11 = 88,170,555,389.09 : x - Step 2: Convert to fraction form
160,425,929,414.42/221,393,091,934.11 = 88,170,555,389.09/x - Step 3: Cross multiply
160,425,929,414.42x = 221,393,091,934.11 × 88,170,555,389.09 - Step 4: Simplify right side
160,425,929,414.42x = 19,520,351,875,137,231,912,960 - Step 5: Solve for x
x = 19,520,351,875,137,231,912,960/160,425,929,414.42 - Step 6: Final answer
x = 121,678,284,466.79
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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.