Finding the Fourth Proportional to 3,205,283,287.26, 4,423,287,581.70 and 1,795,597,173.14
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Solution
The fourth proportional to 3,205,283,287.26, 4,423,287,581.70 and 1,795,597,173.14 is: 2,477,922,219.62
Step by Step Solution
- Step 1: Write the proportion equation
3,205,283,287.26 : 4,423,287,581.70 = 1,795,597,173.14 : x - Step 2: Convert to fraction form
3,205,283,287.26/4,423,287,581.70 = 1,795,597,173.14/x - Step 3: Cross multiply
3,205,283,287.26x = 4,423,287,581.70 × 1,795,597,173.14 - Step 4: Simplify right side
3,205,283,287.26x = 7,942,442,677,697,820,672 - Step 5: Solve for x
x = 7,942,442,677,697,820,672/3,205,283,287.26 - Step 6: Final answer
x = 2,477,922,219.62
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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.