Finding the Fourth Proportional to 7,789,608,166,353.10, 11,686,207,324,826 and 2,695,947,406,173.20
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Solution
The fourth proportional to 7,789,608,166,353.10, 11,686,207,324,826 and 2,695,947,406,173.20 is: 4,044,542,376,528.41
Step by Step Solution
- Step 1: Write the proportion equation
7,789,608,166,353.10 : 11,686,207,324,826 = 2,695,947,406,173.20 : x - Step 2: Convert to fraction form
7,789,608,166,353.10/11,686,207,324,826 = 2,695,947,406,173.20/x - Step 3: Cross multiply
7,789,608,166,353.10x = 11,686,207,324,826 × 2,695,947,406,173.20 - Step 4: Simplify right side
7,789,608,166,353.10x = 31,505,400,325,366,908,773,728,256 - Step 5: Solve for x
x = 31,505,400,325,366,908,773,728,256/7,789,608,166,353.10 - Step 6: Final answer
x = 4,044,542,376,528.41
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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.