Finding the Fourth Proportional to 5,465,284,829.76, 7,542,096,623.68 and 2,959,160,239.20
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Solution
The fourth proportional to 5,465,284,829.76, 7,542,096,623.68 and 2,959,160,239.20 is: 4,083,643,056.89
Step by Step Solution
- Step 1: Write the proportion equation
5,465,284,829.76 : 7,542,096,623.68 = 2,959,160,239.20 : x - Step 2: Convert to fraction form
5,465,284,829.76/7,542,096,623.68 = 2,959,160,239.20/x - Step 3: Cross multiply
5,465,284,829.76x = 7,542,096,623.68 × 2,959,160,239.20 - Step 4: Simplify right side
5,465,284,829.76x = 22,318,272,448,998,420,480 - Step 5: Solve for x
x = 22,318,272,448,998,420,480/5,465,284,829.76 - Step 6: Final answer
x = 4,083,643,056.89
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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.