Finding the Fourth Proportional to 272,098,202,813.80, 408,147,304,220.70 and 272,098,202,813.80
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Solution
The fourth proportional to 272,098,202,813.80, 408,147,304,220.70 and 272,098,202,813.80 is: 408,147,304,220.70
Step by Step Solution
- Step 1: Write the proportion equation
272,098,202,813.80 : 408,147,304,220.70 = 272,098,202,813.80 : x - Step 2: Convert to fraction form
272,098,202,813.80/408,147,304,220.70 = 272,098,202,813.80/x - Step 3: Cross multiply
272,098,202,813.80x = 408,147,304,220.70 × 272,098,202,813.80 - Step 4: Simplify right side
272,098,202,813.80x = 111,056,147,961,749,759,328,256 - Step 5: Solve for x
x = 111,056,147,961,749,759,328,256/272,098,202,813.80 - Step 6: Final answer
x = 408,147,304,220.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.