Finding the Fourth Proportional to 264,217,244,795.18, 396,163,669,333.90 and 102,680,037,643.43
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Solution
The fourth proportional to 264,217,244,795.18, 396,163,669,333.90 and 102,680,037,643.43 is: 153,957,023,174.99
Step by Step Solution
- Step 1: Write the proportion equation
264,217,244,795.18 : 396,163,669,333.90 = 102,680,037,643.43 : x - Step 2: Convert to fraction form
264,217,244,795.18/396,163,669,333.90 = 102,680,037,643.43/x - Step 3: Cross multiply
264,217,244,795.18x = 396,163,669,333.90 × 102,680,037,643.43 - Step 4: Simplify right side
264,217,244,795.18x = 40,678,100,480,164,209,098,752 - Step 5: Solve for x
x = 40,678,100,480,164,209,098,752/264,217,244,795.18 - Step 6: Final answer
x = 153,957,023,174.99
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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.