Finding the Fourth Proportional to 293,355,440,134.70, 440,033,160,202.05 and 204,093,759,469.10
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Solution
The fourth proportional to 293,355,440,134.70, 440,033,160,202.05 and 204,093,759,469.10 is: 306,140,639,203.65
Step by Step Solution
- Step 1: Write the proportion equation
293,355,440,134.70 : 440,033,160,202.05 = 204,093,759,469.10 : x - Step 2: Convert to fraction form
293,355,440,134.70/440,033,160,202.05 = 204,093,759,469.10/x - Step 3: Cross multiply
293,355,440,134.70x = 440,033,160,202.05 × 204,093,759,469.10 - Step 4: Simplify right side
293,355,440,134.70x = 89,808,021,956,705,147,420,672 - Step 5: Solve for x
x = 89,808,021,956,705,147,420,672/293,355,440,134.70 - Step 6: Final answer
x = 306,140,639,203.65
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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.