Finding the Fourth Proportional to 52,769,618,241.97, 72,830,033,372.63 and 32,181,752,214.09
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Solution
The fourth proportional to 52,769,618,241.97, 72,830,033,372.63 and 32,181,752,214.09 is: 44,415,672,612.87
Step by Step Solution
- Step 1: Write the proportion equation
52,769,618,241.97 : 72,830,033,372.63 = 32,181,752,214.09 : x - Step 2: Convert to fraction form
52,769,618,241.97/72,830,033,372.63 = 32,181,752,214.09/x - Step 3: Cross multiply
52,769,618,241.97x = 72,830,033,372.63 × 32,181,752,214.09 - Step 4: Simplify right side
52,769,618,241.97x = 2,343,798,087,741,723,115,520 - Step 5: Solve for x
x = 2,343,798,087,741,723,115,520/52,769,618,241.97 - Step 6: Final answer
x = 44,415,672,612.87
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1.5x scale
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.