Finding the Fourth Proportional to 565,442,268,968.11, 848,100,750,162.49 and 202,393,434,374.42
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Solution
The fourth proportional to 565,442,268,968.11, 848,100,750,162.49 and 202,393,434,374.42 is: 303,567,725,550.76
Step by Step Solution
- Step 1: Write the proportion equation
565,442,268,968.11 : 848,100,750,162.49 = 202,393,434,374.42 : x - Step 2: Convert to fraction form
565,442,268,968.11/848,100,750,162.49 = 202,393,434,374.42/x - Step 3: Cross multiply
565,442,268,968.11x = 848,100,750,162.49 × 202,393,434,374.42 - Step 4: Simplify right side
565,442,268,968.11x = 171,650,023,520,908,286,623,744 - Step 5: Solve for x
x = 171,650,023,520,908,286,623,744/565,442,268,968.11 - Step 6: Final answer
x = 303,567,725,550.76
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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.