Finding the Fourth Proportional to 450,820,139,556.81, 622,132,193,470.74 and 245,054,378,907.18
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Solution
The fourth proportional to 450,820,139,556.81, 622,132,193,470.74 and 245,054,378,907.18 is: 338,175,260,801.37
Step by Step Solution
- Step 1: Write the proportion equation
450,820,139,556.81 : 622,132,193,470.74 = 245,054,378,907.18 : x - Step 2: Convert to fraction form
450,820,139,556.81/622,132,193,470.74 = 245,054,378,907.18/x - Step 3: Cross multiply
450,820,139,556.81x = 622,132,193,470.74 × 245,054,378,907.18 - Step 4: Simplify right side
450,820,139,556.81x = 152,456,218,269,133,721,042,944 - Step 5: Solve for x
x = 152,456,218,269,133,721,042,944/450,820,139,556.81 - Step 6: Final answer
x = 338,175,260,801.37
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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.