Finding the Fourth Proportional to 1,416,729,464.91, 1,955,093,452.07 and 781,649,924.76
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Solution
The fourth proportional to 1,416,729,464.91, 1,955,093,452.07 and 781,649,924.76 is: 1,078,680,642.67
Step by Step Solution
- Step 1: Write the proportion equation
1,416,729,464.91 : 1,955,093,452.07 = 781,649,924.76 : x - Step 2: Convert to fraction form
1,416,729,464.91/1,955,093,452.07 = 781,649,924.76/x - Step 3: Cross multiply
1,416,729,464.91x = 1,955,093,452.07 × 781,649,924.76 - Step 4: Simplify right side
1,416,729,464.91x = 1,528,198,649,705,376,000 - Step 5: Solve for x
x = 1,528,198,649,705,376,000/1,416,729,464.91 - Step 6: Final answer
x = 1,078,680,642.67
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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.