Finding the Fourth Proportional to 2,049,957,576.14, 3,079,841,878.17 and 1,314,468,470.12
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Solution
The fourth proportional to 2,049,957,576.14, 3,079,841,878.17 and 1,314,468,470.12 is: 1,974,848,206.09
Step by Step Solution
- Step 1: Write the proportion equation
2,049,957,576.14 : 3,079,841,878.17 = 1,314,468,470.12 : x - Step 2: Convert to fraction form
2,049,957,576.14/3,079,841,878.17 = 1,314,468,470.12/x - Step 3: Cross multiply
2,049,957,576.14x = 3,079,841,878.17 × 1,314,468,470.12 - Step 4: Simplify right side
2,049,957,576.14x = 4,048,355,041,794,228,224 - Step 5: Solve for x
x = 4,048,355,041,794,228,224/2,049,957,576.14 - Step 6: Final answer
x = 1,974,848,206.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.