Finding the Fourth Proportional to 5,450,757,772.97, 8,176,201,760.99 and 1,520,224,787.09
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Solution
The fourth proportional to 5,450,757,772.97, 8,176,201,760.99 and 1,520,224,787.09 is: 2,280,355,337.56
Step by Step Solution
- Step 1: Write the proportion equation
5,450,757,772.97 : 8,176,201,760.99 = 1,520,224,787.09 : x - Step 2: Convert to fraction form
5,450,757,772.97/8,176,201,760.99 = 1,520,224,787.09/x - Step 3: Cross multiply
5,450,757,772.97x = 8,176,201,760.99 × 1,520,224,787.09 - Step 4: Simplify right side
5,450,757,772.97x = 12,429,664,581,330,147,328 - Step 5: Solve for x
x = 12,429,664,581,330,147,328/5,450,757,772.97 - Step 6: Final answer
x = 2,280,355,337.56
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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.