Finding the Fourth Proportional to 146,276,737,715.20, 219,415,106,572.80 and 146,276,737,715.20
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Solution
The fourth proportional to 146,276,737,715.20, 219,415,106,572.80 and 146,276,737,715.20 is: 219,415,106,572.80
Step by Step Solution
- Step 1: Write the proportion equation
146,276,737,715.20 : 219,415,106,572.80 = 146,276,737,715.20 : x - Step 2: Convert to fraction form
146,276,737,715.20/219,415,106,572.80 = 146,276,737,715.20/x - Step 3: Cross multiply
146,276,737,715.20x = 219,415,106,572.80 × 146,276,737,715.20 - Step 4: Simplify right side
146,276,737,715.20x = 32,095,325,994,902,123,184,128 - Step 5: Solve for x
x = 32,095,325,994,902,123,184,128/146,276,737,715.20 - Step 6: Final answer
x = 219,415,106,572.80
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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.