Finding the Fourth Proportional to 3,211,065,742.24, 4,433,170,554.30 and 2,022,653,392.84
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Solution
The fourth proportional to 3,211,065,742.24, 4,433,170,554.30 and 2,022,653,392.84 is: 2,792,458,386.87
Step by Step Solution
- Step 1: Write the proportion equation
3,211,065,742.24 : 4,433,170,554.30 = 2,022,653,392.84 : x - Step 2: Convert to fraction form
3,211,065,742.24/4,433,170,554.30 = 2,022,653,392.84/x - Step 3: Cross multiply
3,211,065,742.24x = 4,433,170,554.30 × 2,022,653,392.84 - Step 4: Simplify right side
3,211,065,742.24x = 8,966,767,462,693,278,720 - Step 5: Solve for x
x = 8,966,767,462,693,278,720/3,211,065,742.24 - Step 6: Final answer
x = 2,792,458,386.87
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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.