Finding the Fourth Proportional to 4,195,914,847.69, 5,790,380,984.13 and 2,316,335,576.53
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Solution
The fourth proportional to 4,195,914,847.69, 5,790,380,984.13 and 2,316,335,576.53 is: 3,196,553,305.31
Step by Step Solution
- Step 1: Write the proportion equation
4,195,914,847.69 : 5,790,380,984.13 = 2,316,335,576.53 : x - Step 2: Convert to fraction form
4,195,914,847.69/5,790,380,984.13 = 2,316,335,576.53/x - Step 3: Cross multiply
4,195,914,847.69x = 5,790,380,984.13 × 2,316,335,576.53 - Step 4: Simplify right side
4,195,914,847.69x = 13,412,465,475,203,112,960 - Step 5: Solve for x
x = 13,412,465,475,203,112,960/4,195,914,847.69 - Step 6: Final answer
x = 3,196,553,305.31
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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.