Finding the Fourth Proportional to 694,538,972,170.70, 958,489,648,430.05 and 416,486,805,245.53
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Solution
The fourth proportional to 694,538,972,170.70, 958,489,648,430.05 and 416,486,805,245.53 is: 574,767,302,528.61
Step by Step Solution
- Step 1: Write the proportion equation
694,538,972,170.70 : 958,489,648,430.05 = 416,486,805,245.53 : x - Step 2: Convert to fraction form
694,538,972,170.70/958,489,648,430.05 = 416,486,805,245.53/x - Step 3: Cross multiply
694,538,972,170.70x = 958,489,648,430.05 × 416,486,805,245.53 - Step 4: Simplify right side
694,538,972,170.70x = 399,198,291,535,542,821,584,896 - Step 5: Solve for x
x = 399,198,291,535,542,821,584,896/694,538,972,170.70 - Step 6: Final answer
x = 574,767,302,528.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.