Finding the Fourth Proportional to 8,939,964,269,676, 12,339,446,140,080 and 5,822,664,809,378
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Solution
The fourth proportional to 8,939,964,269,676, 12,339,446,140,080 and 5,822,664,809,378 is: 8,036,772,479,143.58
Step by Step Solution
- Step 1: Write the proportion equation
8,939,964,269,676 : 12,339,446,140,080 = 5,822,664,809,378 : x - Step 2: Convert to fraction form
8,939,964,269,676/12,339,446,140,080 = 5,822,664,809,378/x - Step 3: Cross multiply
8,939,964,269,676x = 12,339,446,140,080 × 5,822,664,809,378 - Step 4: Simplify right side
8,939,964,269,676x = 71,848,458,807,059,012,856,578,048 - Step 5: Solve for x
x = 71,848,458,807,059,012,856,578,048/8,939,964,269,676 - Step 6: Final answer
x = 8,036,772,479,143.58
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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.