Finding the Fourth Proportional to 47,978,361,660,048, 71,944,855,899,556 and 18,586,346,965,430
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Solution
The fourth proportional to 47,978,361,660,048, 71,944,855,899,556 and 18,586,346,965,430 is: 27,870,731,885,380.38
Step by Step Solution
- Step 1: Write the proportion equation
47,978,361,660,048 : 71,944,855,899,556 = 18,586,346,965,430 : x - Step 2: Convert to fraction form
47,978,361,660,048/71,944,855,899,556 = 18,586,346,965,430/x - Step 3: Cross multiply
47,978,361,660,048x = 71,944,855,899,556 × 18,586,346,965,430 - Step 4: Simplify right side
47,978,361,660,048x = 1,337,192,054,127,011,347,864,485,888 - Step 5: Solve for x
x = 1,337,192,054,127,011,347,864,485,888/47,978,361,660,048 - Step 6: Final answer
x = 27,870,731,885,380.38
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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.