Finding the Fourth Proportional to 4,689,231,745,920, 6,471,296,766,876.30 and 2,605,941,226,456
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Solution
The fourth proportional to 4,689,231,745,920, 6,471,296,766,876.30 and 2,605,941,226,456 is: 3,596,286,118,319.32
Step by Step Solution
- Step 1: Write the proportion equation
4,689,231,745,920 : 6,471,296,766,876.30 = 2,605,941,226,456 : x - Step 2: Convert to fraction form
4,689,231,745,920/6,471,296,766,876.30 = 2,605,941,226,456/x - Step 3: Cross multiply
4,689,231,745,920x = 6,471,296,766,876.30 × 2,605,941,226,456 - Step 4: Simplify right side
4,689,231,745,920x = 16,863,819,033,434,372,324,720,640 - Step 5: Solve for x
x = 16,863,819,033,434,372,324,720,640/4,689,231,745,920 - Step 6: Final answer
x = 3,596,286,118,319.32
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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.