Finding the Fourth Proportional to 3,641,157,382.44, 5,024,797,193.34 and 1,970,406,523.02
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Solution
The fourth proportional to 3,641,157,382.44, 5,024,797,193.34 and 1,970,406,523.02 is: 2,719,161,004.78
Step by Step Solution
- Step 1: Write the proportion equation
3,641,157,382.44 : 5,024,797,193.34 = 1,970,406,523.02 : x - Step 2: Convert to fraction form
3,641,157,382.44/5,024,797,193.34 = 1,970,406,523.02/x - Step 3: Cross multiply
3,641,157,382.44x = 5,024,797,193.34 × 1,970,406,523.02 - Step 4: Simplify right side
3,641,157,382.44x = 9,900,893,166,609,723,392 - Step 5: Solve for x
x = 9,900,893,166,609,723,392/3,641,157,382.44 - Step 6: Final answer
x = 2,719,161,004.78
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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.