Finding the Fourth Proportional to 32,642,015,010,929, 48,969,900,019,154 and 10,585,959,370,169
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Solution
The fourth proportional to 32,642,015,010,929, 48,969,900,019,154 and 10,585,959,370,169 is: 15,881,169,461,825.11
Step by Step Solution
- Step 1: Write the proportion equation
32,642,015,010,929 : 48,969,900,019,154 = 10,585,959,370,169 : x - Step 2: Convert to fraction form
32,642,015,010,929/48,969,900,019,154 = 10,585,959,370,169/x - Step 3: Cross multiply
32,642,015,010,929x = 48,969,900,019,154 × 10,585,959,370,169 - Step 4: Simplify right side
32,642,015,010,929x = 518,393,371,964,002,376,811,020,288 - Step 5: Solve for x
x = 518,393,371,964,002,376,811,020,288/32,642,015,010,929 - Step 6: Final answer
x = 15,881,169,461,825.11
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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.