Finding the Fourth Proportional to 31,043,539,761.14, 46,565,679,161.56 and 8,657,926,114.42
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Solution
The fourth proportional to 31,043,539,761.14, 46,565,679,161.56 and 8,657,926,114.42 is: 12,986,992,229.32
Step by Step Solution
- Step 1: Write the proportion equation
31,043,539,761.14 : 46,565,679,161.56 = 8,657,926,114.42 : x - Step 2: Convert to fraction form
31,043,539,761.14/46,565,679,161.56 = 8,657,926,114.42/x - Step 3: Cross multiply
31,043,539,761.14x = 46,565,679,161.56 × 8,657,926,114.42 - Step 4: Simplify right side
31,043,539,761.14x = 403,162,209,648,573,546,496 - Step 5: Solve for x
x = 403,162,209,648,573,546,496/31,043,539,761.14 - Step 6: Final answer
x = 12,986,992,229.32
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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.