Finding the Fourth Proportional to 2,853,289,465.62, 3,923,576,575.77 and 2,476,291,543.75
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Solution
The fourth proportional to 2,853,289,465.62, 3,923,576,575.77 and 2,476,291,543.75 is: 3,405,164,324.51
Step by Step Solution
- Step 1: Write the proportion equation
2,853,289,465.62 : 3,923,576,575.77 = 2,476,291,543.75 : x - Step 2: Convert to fraction form
2,853,289,465.62/3,923,576,575.77 = 2,476,291,543.75/x - Step 3: Cross multiply
2,853,289,465.62x = 3,923,576,575.77 × 2,476,291,543.75 - Step 4: Simplify right side
2,853,289,465.62x = 9,715,919,495,834,832,896 - Step 5: Solve for x
x = 9,715,919,495,834,832,896/2,853,289,465.62 - Step 6: Final answer
x = 3,405,164,324.51
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1.5x scale
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.