Finding the Fourth Proportional to 2,741,412,827.16, 4,112,509,692.96 and 850,772,349.63
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Solution
The fourth proportional to 2,741,412,827.16, 4,112,509,692.96 and 850,772,349.63 is: 1,276,279,697.71
Step by Step Solution
- Step 1: Write the proportion equation
2,741,412,827.16 : 4,112,509,692.96 = 850,772,349.63 : x - Step 2: Convert to fraction form
2,741,412,827.16/4,112,509,692.96 = 850,772,349.63/x - Step 3: Cross multiply
2,741,412,827.16x = 4,112,509,692.96 × 850,772,349.63 - Step 4: Simplify right side
2,741,412,827.16x = 3,498,809,534,355,728,896 - Step 5: Solve for x
x = 3,498,809,534,355,728,896/2,741,412,827.16 - Step 6: Final answer
x = 1,276,279,697.71
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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.