Finding the Fourth Proportional to 3,202,820,902.44, 4,804,955,774.32 and 1,728,929,075.85
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Solution
The fourth proportional to 3,202,820,902.44, 4,804,955,774.32 and 1,728,929,075.85 is: 2,593,784,666.53
Step by Step Solution
- Step 1: Write the proportion equation
3,202,820,902.44 : 4,804,955,774.32 = 1,728,929,075.85 : x - Step 2: Convert to fraction form
3,202,820,902.44/4,804,955,774.32 = 1,728,929,075.85/x - Step 3: Cross multiply
3,202,820,902.44x = 4,804,955,774.32 × 1,728,929,075.85 - Step 4: Simplify right side
3,202,820,902.44x = 8,307,427,746,362,528,768 - Step 5: Solve for x
x = 8,307,427,746,362,528,768/3,202,820,902.44 - Step 6: Final answer
x = 2,593,784,666.53
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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.