Finding the Fourth Proportional to 1,584,299,539.26, 2,186,560,722.42 and 949,245,110.46
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Solution
The fourth proportional to 1,584,299,539.26, 2,186,560,722.42 and 949,245,110.46 is: 1,310,094,475.85
Step by Step Solution
- Step 1: Write the proportion equation
1,584,299,539.26 : 2,186,560,722.42 = 949,245,110.46 : x - Step 2: Convert to fraction form
1,584,299,539.26/2,186,560,722.42 = 949,245,110.46/x - Step 3: Cross multiply
1,584,299,539.26x = 2,186,560,722.42 × 949,245,110.46 - Step 4: Simplify right side
1,584,299,539.26x = 2,075,582,074,481,070,336 - Step 5: Solve for x
x = 2,075,582,074,481,070,336/1,584,299,539.26 - Step 6: Final answer
x = 1,310,094,475.85
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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.