Finding the Fourth Proportional to 278,471,353.80, 417,707,030.70 and 278,471,353.80
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Solution
The fourth proportional to 278,471,353.80, 417,707,030.70 and 278,471,353.80 is: 417,707,030.70
Step by Step Solution
- Step 1: Write the proportion equation
278,471,353.80 : 417,707,030.70 = 278,471,353.80 : x - Step 2: Convert to fraction form
278,471,353.80/417,707,030.70 = 278,471,353.80/x - Step 3: Cross multiply
278,471,353.80x = 417,707,030.70 × 278,471,353.80 - Step 4: Simplify right side
278,471,353.80x = 116,319,442,330,807,168 - Step 5: Solve for x
x = 116,319,442,330,807,168/278,471,353.80 - Step 6: Final answer
x = 417,707,030.70
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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.