Finding the Fourth Proportional to 202,911,652,513.96, 280,018,734,779.42 and 112,691,106,138.08
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Solution
The fourth proportional to 202,911,652,513.96, 280,018,734,779.42 and 112,691,106,138.08 is: 155,514,089,854.98
Step by Step Solution
- Step 1: Write the proportion equation
202,911,652,513.96 : 280,018,734,779.42 = 112,691,106,138.08 : x - Step 2: Convert to fraction form
202,911,652,513.96/280,018,734,779.42 = 112,691,106,138.08/x - Step 3: Cross multiply
202,911,652,513.96x = 280,018,734,779.42 × 112,691,106,138.08 - Step 4: Simplify right side
202,911,652,513.96x = 31,555,620,961,678,490,861,568 - Step 5: Solve for x
x = 31,555,620,961,678,490,861,568/202,911,652,513.96 - Step 6: Final answer
x = 155,514,089,854.98
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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.