Finding the Fourth Proportional to 3,964,566,832,743, 5,471,102,492,280.40 and 2,206,678,644,519.10
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Solution
The fourth proportional to 3,964,566,832,743, 5,471,102,492,280.40 and 2,206,678,644,519.10 is: 3,045,216,675,875.12
Step by Step Solution
- Step 1: Write the proportion equation
3,964,566,832,743 : 5,471,102,492,280.40 = 2,206,678,644,519.10 : x - Step 2: Convert to fraction form
3,964,566,832,743/5,471,102,492,280.40 = 2,206,678,644,519.10/x - Step 3: Cross multiply
3,964,566,832,743x = 5,471,102,492,280.40 × 2,206,678,644,519.10 - Step 4: Simplify right side
3,964,566,832,743x = 12,072,965,031,690,383,361,310,720 - Step 5: Solve for x
x = 12,072,965,031,690,383,361,310,720/3,964,566,832,743 - Step 6: Final answer
x = 3,045,216,675,875.12
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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.