Finding the Fourth Proportional to 475,253,699,171.14, 713,173,770,160.45 and 220,235,548,905.10
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Solution
The fourth proportional to 475,253,699,171.14, 713,173,770,160.45 and 220,235,548,905.10 is: 330,489,203,997.65
Step by Step Solution
- Step 1: Write the proportion equation
475,253,699,171.14 : 713,173,770,160.45 = 220,235,548,905.10 : x - Step 2: Convert to fraction form
475,253,699,171.14/713,173,770,160.45 = 220,235,548,905.10/x - Step 3: Cross multiply
475,253,699,171.14x = 713,173,770,160.45 × 220,235,548,905.10 - Step 4: Simplify right side
475,253,699,171.14x = 157,066,216,736,006,342,705,152 - Step 5: Solve for x
x = 157,066,216,736,006,342,705,152/475,253,699,171.14 - Step 6: Final answer
x = 330,489,203,997.65
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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.