Finding the Fourth Proportional to 880,096,968,704.48, 1,320,143,805,195.90 and 275,768,438,220.16
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Solution
The fourth proportional to 880,096,968,704.48, 1,320,143,805,195.90 and 275,768,438,220.16 is: 413,652,140,991.68
Step by Step Solution
- Step 1: Write the proportion equation
880,096,968,704.48 : 1,320,143,805,195.90 = 275,768,438,220.16 : x - Step 2: Convert to fraction form
880,096,968,704.48/1,320,143,805,195.90 = 275,768,438,220.16/x - Step 3: Cross multiply
880,096,968,704.48x = 1,320,143,805,195.90 × 275,768,438,220.16 - Step 4: Simplify right side
880,096,968,704.48x = 364,053,995,384,892,442,017,792 - Step 5: Solve for x
x = 364,053,995,384,892,442,017,792/880,096,968,704.48 - Step 6: Final answer
x = 413,652,140,991.68
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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.