Finding the Fourth Proportional to 7,822,176,789.12, 11,738,434,335.84 and 3,682,804,093.44
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Solution
The fourth proportional to 7,822,176,789.12, 11,738,434,335.84 and 3,682,804,093.44 is: 5,526,639,858.45
Step by Step Solution
- Step 1: Write the proportion equation
7,822,176,789.12 : 11,738,434,335.84 = 3,682,804,093.44 : x - Step 2: Convert to fraction form
7,822,176,789.12/11,738,434,335.84 = 3,682,804,093.44/x - Step 3: Cross multiply
7,822,176,789.12x = 11,738,434,335.84 × 3,682,804,093.44 - Step 4: Simplify right side
7,822,176,789.12x = 43,230,354,022,608,199,680 - Step 5: Solve for x
x = 43,230,354,022,608,199,680/7,822,176,789.12 - Step 6: Final answer
x = 5,526,639,858.45
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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.