Finding the Fourth Proportional to 218,468,920,654.24, 327,699,775,693.38 and 65,314,169,211.62
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Solution
The fourth proportional to 218,468,920,654.24, 327,699,775,693.38 and 65,314,169,211.62 is: 97,970,175,968.96
Step by Step Solution
- Step 1: Write the proportion equation
218,468,920,654.24 : 327,699,775,693.38 = 65,314,169,211.62 : x - Step 2: Convert to fraction form
218,468,920,654.24/327,699,775,693.38 = 65,314,169,211.62/x - Step 3: Cross multiply
218,468,920,654.24x = 327,699,775,693.38 × 65,314,169,211.62 - Step 4: Simplify right side
218,468,920,654.24x = 21,403,438,600,245,701,771,264 - Step 5: Solve for x
x = 21,403,438,600,245,701,771,264/218,468,920,654.24 - Step 6: Final answer
x = 97,970,175,968.96
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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.