Finding the Fourth Proportional to 38,401,510,990,280, 52,994,124,386,988 and 20,842,836,368,162
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Solution
The fourth proportional to 38,401,510,990,280, 52,994,124,386,988 and 20,842,836,368,162 is: 28,763,135,475,361.68
Step by Step Solution
- Step 1: Write the proportion equation
38,401,510,990,280 : 52,994,124,386,988 = 20,842,836,368,162 : x - Step 2: Convert to fraction form
38,401,510,990,280/52,994,124,386,988 = 20,842,836,368,162/x - Step 3: Cross multiply
38,401,510,990,280x = 52,994,124,386,988 × 20,842,836,368,162 - Step 4: Simplify right side
38,401,510,990,280x = 1,104,547,863,072,014,222,216,921,088 - Step 5: Solve for x
x = 1,104,547,863,072,014,222,216,921,088/38,401,510,990,280 - Step 6: Final answer
x = 28,763,135,475,361.68
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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.