Finding the Fourth Proportional to 320,851,858,839.16, 442,786,183,882.48 and 176,341,110,788.48
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Solution
The fourth proportional to 320,851,858,839.16, 442,786,183,882.48 and 176,341,110,788.48 is: 243,356,568,947.82
Step by Step Solution
- Step 1: Write the proportion equation
320,851,858,839.16 : 442,786,183,882.48 = 176,341,110,788.48 : x - Step 2: Convert to fraction form
320,851,858,839.16/442,786,183,882.48 = 176,341,110,788.48/x - Step 3: Cross multiply
320,851,858,839.16x = 442,786,183,882.48 × 176,341,110,788.48 - Step 4: Simplify right side
320,851,858,839.16x = 78,081,407,507,628,677,922,816 - Step 5: Solve for x
x = 78,081,407,507,628,677,922,816/320,851,858,839.16 - Step 6: Final answer
x = 243,356,568,947.82
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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.