Finding the Fourth Proportional to 3,270,331,567.60, 4,905,497,351.40 and 1,613,032,809.10
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Solution
The fourth proportional to 3,270,331,567.60, 4,905,497,351.40 and 1,613,032,809.10 is: 2,419,549,213.65
Step by Step Solution
- Step 1: Write the proportion equation
3,270,331,567.60 : 4,905,497,351.40 = 1,613,032,809.10 : x - Step 2: Convert to fraction form
3,270,331,567.60/4,905,497,351.40 = 1,613,032,809.10/x - Step 3: Cross multiply
3,270,331,567.60x = 4,905,497,351.40 × 1,613,032,809.10 - Step 4: Simplify right side
3,270,331,567.60x = 7,912,728,172,761,351,168 - Step 5: Solve for x
x = 7,912,728,172,761,351,168/3,270,331,567.60 - Step 6: Final answer
x = 2,419,549,213.65
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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.