Finding the Fourth Proportional to 2,397,442,826,783.10, 3,596,375,649,064.70 and 676,406,226,212.49
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Solution
The fourth proportional to 2,397,442,826,783.10, 3,596,375,649,064.70 and 676,406,226,212.49 is: 1,014,668,985,491.69
Step by Step Solution
- Step 1: Write the proportion equation
2,397,442,826,783.10 : 3,596,375,649,064.70 = 676,406,226,212.49 : x - Step 2: Convert to fraction form
2,397,442,826,783.10/3,596,375,649,064.70 = 676,406,226,212.49/x - Step 3: Cross multiply
2,397,442,826,783.10x = 3,596,375,649,064.70 × 676,406,226,212.49 - Step 4: Simplify right side
2,397,442,826,783.10x = 2,432,610,880,826,348,106,940,416 - Step 5: Solve for x
x = 2,432,610,880,826,348,106,940,416/2,397,442,826,783.10 - Step 6: Final answer
x = 1,014,668,985,491.69
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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.