Finding the Fourth Proportional to 32,642,015,010,934, 48,969,900,019,164 and 10,585,959,370,172
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Solution
The fourth proportional to 32,642,015,010,934, 48,969,900,019,164 and 10,585,959,370,172 is: 15,881,169,461,830.42
Step by Step Solution
- Step 1: Write the proportion equation
32,642,015,010,934 : 48,969,900,019,164 = 10,585,959,370,172 : x - Step 2: Convert to fraction form
32,642,015,010,934/48,969,900,019,164 = 10,585,959,370,172/x - Step 3: Cross multiply
32,642,015,010,934x = 48,969,900,019,164 × 10,585,959,370,172 - Step 4: Simplify right side
32,642,015,010,934x = 518,393,371,964,255,127,046,455,296 - Step 5: Solve for x
x = 518,393,371,964,255,127,046,455,296/32,642,015,010,934 - Step 6: Final answer
x = 15,881,169,461,830.42
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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.