Finding the Fourth Proportional to 361,154,344.05, 498,423,732.75 and 204,549,310.17
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Solution
The fourth proportional to 361,154,344.05, 498,423,732.75 and 204,549,310.17 is: 282,295,457.29
Step by Step Solution
- Step 1: Write the proportion equation
361,154,344.05 : 498,423,732.75 = 204,549,310.17 : x - Step 2: Convert to fraction form
361,154,344.05/498,423,732.75 = 204,549,310.17/x - Step 3: Cross multiply
361,154,344.05x = 498,423,732.75 × 204,549,310.17 - Step 4: Simplify right side
361,154,344.05x = 101,952,230,706,368,928 - Step 5: Solve for x
x = 101,952,230,706,368,928/361,154,344.05 - Step 6: Final answer
x = 282,295,457.29
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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.