Finding the Fourth Proportional to 3,202,820,902.19, 4,804,955,773.94 and 1,728,929,075.60
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Solution
The fourth proportional to 3,202,820,902.19, 4,804,955,773.94 and 1,728,929,075.60 is: 2,593,784,666.15
Step by Step Solution
- Step 1: Write the proportion equation
3,202,820,902.19 : 4,804,955,773.94 = 1,728,929,075.60 : x - Step 2: Convert to fraction form
3,202,820,902.19/4,804,955,773.94 = 1,728,929,075.60/x - Step 3: Cross multiply
3,202,820,902.19x = 4,804,955,773.94 × 1,728,929,075.60 - Step 4: Simplify right side
3,202,820,902.19x = 8,307,427,744,512,941,056 - Step 5: Solve for x
x = 8,307,427,744,512,941,056/3,202,820,902.19 - Step 6: Final answer
x = 2,593,784,666.15
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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.