Finding the Fourth Proportional to 2,827,122,645.16, 4,235,167,117.68 and 2,202,412,779.28
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Solution
The fourth proportional to 2,827,122,645.16, 4,235,167,117.68 and 2,202,412,779.28 is: 3,299,321,378.34
Step by Step Solution
- Step 1: Write the proportion equation
2,827,122,645.16 : 4,235,167,117.68 = 2,202,412,779.28 : x - Step 2: Convert to fraction form
2,827,122,645.16/4,235,167,117.68 = 2,202,412,779.28/x - Step 3: Cross multiply
2,827,122,645.16x = 4,235,167,117.68 × 2,202,412,779.28 - Step 4: Simplify right side
2,827,122,645.16x = 9,327,586,182,364,876,800 - Step 5: Solve for x
x = 9,327,586,182,364,876,800/2,827,122,645.16 - Step 6: Final answer
x = 3,299,321,378.34
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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.