Finding the Fourth Proportional to 4,170,190,512.15, 6,255,190,123.43 and 2,099,356,176.15
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Solution
The fourth proportional to 4,170,190,512.15, 6,255,190,123.43 and 2,099,356,176.15 is: 3,148,986,114.75
Step by Step Solution
- Step 1: Write the proportion equation
4,170,190,512.15 : 6,255,190,123.43 = 2,099,356,176.15 : x - Step 2: Convert to fraction form
4,170,190,512.15/6,255,190,123.43 = 2,099,356,176.15/x - Step 3: Cross multiply
4,170,190,512.15x = 6,255,190,123.43 × 2,099,356,176.15 - Step 4: Simplify right side
4,170,190,512.15x = 13,131,872,018,604,754,944 - Step 5: Solve for x
x = 13,131,872,018,604,754,944/4,170,190,512.15 - Step 6: Final answer
x = 3,148,986,114.75
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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.