Finding the Fourth Proportional to 3,964,566,832,743.50, 5,471,102,492,281 and 2,206,678,644,519.60
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Solution
The fourth proportional to 3,964,566,832,743.50, 5,471,102,492,281 and 2,206,678,644,519.60 is: 3,045,216,675,875.76
Step by Step Solution
- Step 1: Write the proportion equation
3,964,566,832,743.50 : 5,471,102,492,281 = 2,206,678,644,519.60 : x - Step 2: Convert to fraction form
3,964,566,832,743.50/5,471,102,492,281 = 2,206,678,644,519.60/x - Step 3: Cross multiply
3,964,566,832,743.50x = 5,471,102,492,281 × 2,206,678,644,519.60 - Step 4: Simplify right side
3,964,566,832,743.50x = 12,072,965,031,694,442,105,405,440 - Step 5: Solve for x
x = 12,072,965,031,694,442,105,405,440/3,964,566,832,743.50 - Step 6: Final answer
x = 3,045,216,675,875.76
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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.