Finding the Fourth Proportional to 3,443,301,975,013.70, 4,751,728,486,497.30 and 1,880,769,226,548
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Solution
The fourth proportional to 3,443,301,975,013.70, 4,751,728,486,497.30 and 1,880,769,226,548 is: 2,595,446,108,173.56
Step by Step Solution
- Step 1: Write the proportion equation
3,443,301,975,013.70 : 4,751,728,486,497.30 = 1,880,769,226,548 : x - Step 2: Convert to fraction form
3,443,301,975,013.70/4,751,728,486,497.30 = 1,880,769,226,548/x - Step 3: Cross multiply
3,443,301,975,013.70x = 4,751,728,486,497.30 × 1,880,769,226,548 - Step 4: Simplify right side
3,443,301,975,013.70x = 8,936,904,710,315,624,921,825,280 - Step 5: Solve for x
x = 8,936,904,710,315,624,921,825,280/3,443,301,975,013.70 - Step 6: Final answer
x = 2,595,446,108,173.56
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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.