Finding the Fourth Proportional to 2,381,162,097.84, 3,286,187,759.60 and 1,428,578,684.48
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Solution
The fourth proportional to 2,381,162,097.84, 3,286,187,759.60 and 1,428,578,684.48 is: 1,971,549,014.17
Step by Step Solution
- Step 1: Write the proportion equation
2,381,162,097.84 : 3,286,187,759.60 = 1,428,578,684.48 : x - Step 2: Convert to fraction form
2,381,162,097.84/3,286,187,759.60 = 1,428,578,684.48/x - Step 3: Cross multiply
2,381,162,097.84x = 3,286,187,759.60 × 1,428,578,684.48 - Step 4: Simplify right side
2,381,162,097.84x = 4,694,577,786,578,004,992 - Step 5: Solve for x
x = 4,694,577,786,578,004,992/2,381,162,097.84 - Step 6: Final answer
x = 1,971,549,014.17
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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.