Finding the Fourth Proportional to 275,280,687,135.62, 412,921,030,703.41 and 275,280,687,135.62
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Solution
The fourth proportional to 275,280,687,135.62, 412,921,030,703.41 and 275,280,687,135.62 is: 412,921,030,703.41
Step by Step Solution
- Step 1: Write the proportion equation
275,280,687,135.62 : 412,921,030,703.41 = 275,280,687,135.62 : x - Step 2: Convert to fraction form
275,280,687,135.62/412,921,030,703.41 = 275,280,687,135.62/x - Step 3: Cross multiply
275,280,687,135.62x = 412,921,030,703.41 × 275,280,687,135.62 - Step 4: Simplify right side
275,280,687,135.62x = 113,669,185,064,783,132,491,776 - Step 5: Solve for x
x = 113,669,185,064,783,132,491,776/275,280,687,135.62 - Step 6: Final answer
x = 412,921,030,703.41
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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.