Finding the Fourth Proportional to 5,583,488,824,586, 8,363,504,414,767.60 and 3,542,673,407,972.20
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Solution
The fourth proportional to 5,583,488,824,586, 8,363,504,414,767.60 and 3,542,673,407,972.20 is: 5,306,568,279,887.65
Step by Step Solution
- Step 1: Write the proportion equation
5,583,488,824,586 : 8,363,504,414,767.60 = 3,542,673,407,972.20 : x - Step 2: Convert to fraction form
5,583,488,824,586/8,363,504,414,767.60 = 3,542,673,407,972.20/x - Step 3: Cross multiply
5,583,488,824,586x = 8,363,504,414,767.60 × 3,542,673,407,972.20 - Step 4: Simplify right side
5,583,488,824,586x = 29,629,164,687,655,271,737,065,472 - Step 5: Solve for x
x = 29,629,164,687,655,271,737,065,472/5,583,488,824,586 - Step 6: Final answer
x = 5,306,568,279,887.65
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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.