Finding the Fourth Proportional to 177,567,724,117.30, 266,351,586,175.95 and 177,567,724,117.30
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Solution
The fourth proportional to 177,567,724,117.30, 266,351,586,175.95 and 177,567,724,117.30 is: 266,351,586,175.95
Step by Step Solution
- Step 1: Write the proportion equation
177,567,724,117.30 : 266,351,586,175.95 = 177,567,724,117.30 : x - Step 2: Convert to fraction form
177,567,724,117.30/266,351,586,175.95 = 177,567,724,117.30/x - Step 3: Cross multiply
177,567,724,117.30x = 266,351,586,175.95 × 177,567,724,117.30 - Step 4: Simplify right side
177,567,724,117.30x = 47,295,444,972,296,342,601,728 - Step 5: Solve for x
x = 47,295,444,972,296,342,601,728/177,567,724,117.30 - Step 6: Final answer
x = 266,351,586,175.95
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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.