Finding the Fourth Proportional to 280,368,315.40, 420,552,473.10 and 183,622,433.80
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Solution
The fourth proportional to 280,368,315.40, 420,552,473.10 and 183,622,433.80 is: 275,433,650.70
Step by Step Solution
- Step 1: Write the proportion equation
280,368,315.40 : 420,552,473.10 = 183,622,433.80 : x - Step 2: Convert to fraction form
280,368,315.40/420,552,473.10 = 183,622,433.80/x - Step 3: Cross multiply
280,368,315.40x = 420,552,473.10 × 183,622,433.80 - Step 4: Simplify right side
280,368,315.40x = 77,222,868,651,231,040 - Step 5: Solve for x
x = 77,222,868,651,231,040/280,368,315.40 - Step 6: Final answer
x = 275,433,650.70
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1.5x scale
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.