Finding the Fourth Proportional to 3,964,566,832,775, 5,471,102,492,324.80 and 2,206,678,644,551.20
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Solution
The fourth proportional to 3,964,566,832,775, 5,471,102,492,324.80 and 2,206,678,644,551.20 is: 3,045,216,675,919.55
Step by Step Solution
- Step 1: Write the proportion equation
3,964,566,832,775 : 5,471,102,492,324.80 = 2,206,678,644,551.20 : x - Step 2: Convert to fraction form
3,964,566,832,775/5,471,102,492,324.80 = 2,206,678,644,551.20/x - Step 3: Cross multiply
3,964,566,832,775x = 5,471,102,492,324.80 × 2,206,678,644,551.20 - Step 4: Simplify right side
3,964,566,832,775x = 12,072,965,031,963,981,368,000,512 - Step 5: Solve for x
x = 12,072,965,031,963,981,368,000,512/3,964,566,832,775 - Step 6: Final answer
x = 3,045,216,675,919.55
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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.