Finding the Fourth Proportional to 5,465,284,839.76, 7,542,096,637.48 and 2,959,160,249.20
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Solution
The fourth proportional to 5,465,284,839.76, 7,542,096,637.48 and 2,959,160,249.20 is: 4,083,643,070.69
Step by Step Solution
- Step 1: Write the proportion equation
5,465,284,839.76 : 7,542,096,637.48 = 2,959,160,249.20 : x - Step 2: Convert to fraction form
5,465,284,839.76/7,542,096,637.48 = 2,959,160,249.20/x - Step 3: Cross multiply
5,465,284,839.76x = 7,542,096,637.48 × 2,959,160,249.20 - Step 4: Simplify right side
5,465,284,839.76x = 22,318,272,565,255,794,688 - Step 5: Solve for x
x = 22,318,272,565,255,794,688/5,465,284,839.76 - Step 6: Final answer
x = 4,083,643,070.69
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1.5x scale
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.