Finding the Fourth Proportional to 902,132,260,528.86, 1,353,794,549,515.20 and 424,738,084,147.62
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Solution
The fourth proportional to 902,132,260,528.86, 1,353,794,549,515.20 and 424,738,084,147.62 is: 637,387,807,142.03
Step by Step Solution
- Step 1: Write the proportion equation
902,132,260,528.86 : 1,353,794,549,515.20 = 424,738,084,147.62 : x - Step 2: Convert to fraction form
902,132,260,528.86/1,353,794,549,515.20 = 424,738,084,147.62/x - Step 3: Cross multiply
902,132,260,528.86x = 1,353,794,549,515.20 × 424,738,084,147.62 - Step 4: Simplify right side
902,132,260,528.86x = 575,008,103,290,576,274,718,720 - Step 5: Solve for x
x = 575,008,103,290,576,274,718,720/902,132,260,528.86 - Step 6: Final answer
x = 637,387,807,142.03
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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.