Finding the Fourth Proportional to 2,827,122,644.16, 4,235,167,116.18 and 2,202,412,778.28
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Solution
The fourth proportional to 2,827,122,644.16, 4,235,167,116.18 and 2,202,412,778.28 is: 3,299,321,376.84
Step by Step Solution
- Step 1: Write the proportion equation
2,827,122,644.16 : 4,235,167,116.18 = 2,202,412,778.28 : x - Step 2: Convert to fraction form
2,827,122,644.16/4,235,167,116.18 = 2,202,412,778.28/x - Step 3: Cross multiply
2,827,122,644.16x = 4,235,167,116.18 × 2,202,412,778.28 - Step 4: Simplify right side
2,827,122,644.16x = 9,327,586,174,826,090,496 - Step 5: Solve for x
x = 9,327,586,174,826,090,496/2,827,122,644.16 - Step 6: Final answer
x = 3,299,321,376.84
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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.