Finding the Fourth Proportional to 3,188,103,626,180, 4,782,155,439,270 and 3,188,103,626,180
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Solution
The fourth proportional to 3,188,103,626,180, 4,782,155,439,270 and 3,188,103,626,180 is: 4,782,155,439,270
Step by Step Solution
- Step 1: Write the proportion equation
3,188,103,626,180 : 4,782,155,439,270 = 3,188,103,626,180 : x - Step 2: Convert to fraction form
3,188,103,626,180/4,782,155,439,270 = 3,188,103,626,180/x - Step 3: Cross multiply
3,188,103,626,180x = 4,782,155,439,270 × 3,188,103,626,180 - Step 4: Simplify right side
3,188,103,626,180x = 15,246,007,096,893,098,805,952,512 - Step 5: Solve for x
x = 15,246,007,096,893,098,805,952,512/3,188,103,626,180 - Step 6: Final answer
x = 4,782,155,439,270
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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.