Finding the Fourth Proportional to 4,211,157,656.16, 5,811,486,230.16 and 2,305,999,144.80
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Solution
The fourth proportional to 4,211,157,656.16, 5,811,486,230.16 and 2,305,999,144.80 is: 3,182,327,371.94
Step by Step Solution
- Step 1: Write the proportion equation
4,211,157,656.16 : 5,811,486,230.16 = 2,305,999,144.80 : x - Step 2: Convert to fraction form
4,211,157,656.16/5,811,486,230.16 = 2,305,999,144.80/x - Step 3: Cross multiply
4,211,157,656.16x = 5,811,486,230.16 × 2,305,999,144.80 - Step 4: Simplify right side
4,211,157,656.16x = 13,401,282,276,765,937,664 - Step 5: Solve for x
x = 13,401,282,276,765,937,664/4,211,157,656.16 - Step 6: Final answer
x = 3,182,327,371.94
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.