Finding the Fourth Proportional to 380,122,186.08, 524,568,616.64 and 206,281,930.08
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Solution
The fourth proportional to 380,122,186.08, 524,568,616.64 and 206,281,930.08 is: 284,669,063.43
Step by Step Solution
- Step 1: Write the proportion equation
380,122,186.08 : 524,568,616.64 = 206,281,930.08 : x - Step 2: Convert to fraction form
380,122,186.08/524,568,616.64 = 206,281,930.08/x - Step 3: Cross multiply
380,122,186.08x = 524,568,616.64 × 206,281,930.08 - Step 4: Simplify right side
380,122,186.08x = 108,209,026,699,894,816 - Step 5: Solve for x
x = 108,209,026,699,894,816/380,122,186.08 - Step 6: Final answer
x = 284,669,063.43
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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.