Finding the Fourth Proportional to 7,820,765,344.40, 11,744,752,906.20 and 4,147,445,152.40
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Solution
The fourth proportional to 7,820,765,344.40, 11,744,752,906.20 and 4,147,445,152.40 is: 6,228,382,563.84
Step by Step Solution
- Step 1: Write the proportion equation
7,820,765,344.40 : 11,744,752,906.20 = 4,147,445,152.40 : x - Step 2: Convert to fraction form
7,820,765,344.40/11,744,752,906.20 = 4,147,445,152.40/x - Step 3: Cross multiply
7,820,765,344.40x = 11,744,752,906.20 × 4,147,445,152.40 - Step 4: Simplify right side
7,820,765,344.40x = 48,710,718,506,955,005,952 - Step 5: Solve for x
x = 48,710,718,506,955,005,952/7,820,765,344.40 - Step 6: Final answer
x = 6,228,382,563.84
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1.5x scale
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.