Finding the Fourth Proportional to 1,676,186,257,706.30, 2,514,279,383,717.80 and 402,771,052,693.85
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Solution
The fourth proportional to 1,676,186,257,706.30, 2,514,279,383,717.80 and 402,771,052,693.85 is: 604,156,578,357.95
Step by Step Solution
- Step 1: Write the proportion equation
1,676,186,257,706.30 : 2,514,279,383,717.80 = 402,771,052,693.85 : x - Step 2: Convert to fraction form
1,676,186,257,706.30/2,514,279,383,717.80 = 402,771,052,693.85/x - Step 3: Cross multiply
1,676,186,257,706.30x = 2,514,279,383,717.80 × 402,771,052,693.85 - Step 4: Simplify right side
1,676,186,257,706.30x = 1,012,678,954,146,462,561,206,272 - Step 5: Solve for x
x = 1,012,678,954,146,462,561,206,272/1,676,186,257,706.30 - Step 6: Final answer
x = 604,156,578,357.95
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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.