Finding the Fourth Proportional to 4,474,497,029,190, 6,711,745,543,784.90 and 4,474,497,029,190
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Solution
The fourth proportional to 4,474,497,029,190, 6,711,745,543,784.90 and 4,474,497,029,190 is: 6,711,745,543,784.90
Step by Step Solution
- Step 1: Write the proportion equation
4,474,497,029,190 : 6,711,745,543,784.90 = 4,474,497,029,190 : x - Step 2: Convert to fraction form
4,474,497,029,190/6,711,745,543,784.90 = 4,474,497,029,190/x - Step 3: Cross multiply
4,474,497,029,190x = 6,711,745,543,784.90 × 4,474,497,029,190 - Step 4: Simplify right side
4,474,497,029,190x = 30,031,685,496,344,757,116,338,176 - Step 5: Solve for x
x = 30,031,685,496,344,757,116,338,176/4,474,497,029,190 - Step 6: Final answer
x = 6,711,745,543,784.90
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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.