Finding the Fourth Proportional to 366,675,490,518.78, 506,012,201,245.08 and 204,091,647,293.62
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Solution
The fourth proportional to 366,675,490,518.78, 506,012,201,245.08 and 204,091,647,293.62 is: 281,646,486,806.81
Step by Step Solution
- Step 1: Write the proportion equation
366,675,490,518.78 : 506,012,201,245.08 = 204,091,647,293.62 : x - Step 2: Convert to fraction form
366,675,490,518.78/506,012,201,245.08 = 204,091,647,293.62/x - Step 3: Cross multiply
366,675,490,518.78x = 506,012,201,245.08 × 204,091,647,293.62 - Step 4: Simplify right side
366,675,490,518.78x = 103,272,863,702,779,126,874,112 - Step 5: Solve for x
x = 103,272,863,702,779,126,874,112/366,675,490,518.78 - Step 6: Final answer
x = 281,646,486,806.81
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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.