Finding the Fourth Proportional to 177,567,724,135.70, 266,351,586,203.55 and 177,567,724,135.70
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Solution
The fourth proportional to 177,567,724,135.70, 266,351,586,203.55 and 177,567,724,135.70 is: 266,351,586,203.55
Step by Step Solution
- Step 1: Write the proportion equation
177,567,724,135.70 : 266,351,586,203.55 = 177,567,724,135.70 : x - Step 2: Convert to fraction form
177,567,724,135.70/266,351,586,203.55 = 177,567,724,135.70/x - Step 3: Cross multiply
177,567,724,135.70x = 266,351,586,203.55 × 177,567,724,135.70 - Step 4: Simplify right side
177,567,724,135.70x = 47,295,444,982,098,087,116,800 - Step 5: Solve for x
x = 47,295,444,982,098,087,116,800/177,567,724,135.70 - Step 6: Final answer
x = 266,351,586,203.55
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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.