Finding the Fourth Proportional to 4,195,817,108.85, 5,790,198,154.57 and 2,290,578,584.09
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Solution
The fourth proportional to 4,195,817,108.85, 5,790,198,154.57 and 2,290,578,584.09 is: 3,160,982,365.62
Step by Step Solution
- Step 1: Write the proportion equation
4,195,817,108.85 : 5,790,198,154.57 = 2,290,578,584.09 : x - Step 2: Convert to fraction form
4,195,817,108.85/5,790,198,154.57 = 2,290,578,584.09/x - Step 3: Cross multiply
4,195,817,108.85x = 5,790,198,154.57 × 2,290,578,584.09 - Step 4: Simplify right side
4,195,817,108.85x = 13,262,903,890,461,034,496 - Step 5: Solve for x
x = 13,262,903,890,461,034,496/4,195,817,108.85 - Step 6: Final answer
x = 3,160,982,365.62
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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.