Finding the Fourth Proportional to 3,729,986,962.84, 5,147,355,359.10 and 2,036,441,555.44
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Solution
The fourth proportional to 3,729,986,962.84, 5,147,355,359.10 and 2,036,441,555.44 is: 2,810,274,796.75
Step by Step Solution
- Step 1: Write the proportion equation
3,729,986,962.84 : 5,147,355,359.10 = 2,036,441,555.44 : x - Step 2: Convert to fraction form
3,729,986,962.84/5,147,355,359.10 = 2,036,441,555.44/x - Step 3: Cross multiply
3,729,986,962.84x = 5,147,355,359.10 × 2,036,441,555.44 - Step 4: Simplify right side
3,729,986,962.84x = 10,482,288,353,888,024,576 - Step 5: Solve for x
x = 10,482,288,353,888,024,576/3,729,986,962.84 - Step 6: Final answer
x = 2,810,274,796.75
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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.