Finding the Fourth Proportional to 7,785,647,444.42, 10,744,245,060.11 and 4,217,354,350.53
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Solution
The fourth proportional to 7,785,647,444.42, 10,744,245,060.11 and 4,217,354,350.53 is: 5,819,976,947.43
Step by Step Solution
- Step 1: Write the proportion equation
7,785,647,444.42 : 10,744,245,060.11 = 4,217,354,350.53 : x - Step 2: Convert to fraction form
7,785,647,444.42/10,744,245,060.11 = 4,217,354,350.53/x - Step 3: Cross multiply
7,785,647,444.42x = 10,744,245,060.11 × 4,217,354,350.53 - Step 4: Simplify right side
7,785,647,444.42x = 45,312,288,647,370,317,824 - Step 5: Solve for x
x = 45,312,288,647,370,317,824/7,785,647,444.42 - Step 6: Final answer
x = 5,819,976,947.43
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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.