Finding the Fourth Proportional to 1,847,409,957.82, 2,549,405,424.24 and 1,000,616,213.26
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Solution
The fourth proportional to 1,847,409,957.82, 2,549,405,424.24 and 1,000,616,213.26 is: 1,380,839,369.66
Step by Step Solution
- Step 1: Write the proportion equation
1,847,409,957.82 : 2,549,405,424.24 = 1,000,616,213.26 : x - Step 2: Convert to fraction form
1,847,409,957.82/2,549,405,424.24 = 1,000,616,213.26/x - Step 3: Cross multiply
1,847,409,957.82x = 2,549,405,424.24 × 1,000,616,213.26 - Step 4: Simplify right side
1,847,409,957.82x = 2,550,976,401,667,532,288 - Step 5: Solve for x
x = 2,550,976,401,667,532,288/1,847,409,957.82 - Step 6: Final answer
x = 1,380,839,369.66
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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.