Finding the Fourth Proportional to 314,928,311.80, 472,392,467.70 and 178,879,415.80
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Solution
The fourth proportional to 314,928,311.80, 472,392,467.70 and 178,879,415.80 is: 268,319,123.70
Step by Step Solution
- Step 1: Write the proportion equation
314,928,311.80 : 472,392,467.70 = 178,879,415.80 : x - Step 2: Convert to fraction form
314,928,311.80/472,392,467.70 = 178,879,415.80/x - Step 3: Cross multiply
314,928,311.80x = 472,392,467.70 × 178,879,415.80 - Step 4: Simplify right side
314,928,311.80x = 84,501,288,650,496,368 - Step 5: Solve for x
x = 84,501,288,650,496,368/314,928,311.80 - Step 6: Final answer
x = 268,319,123.70
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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.