Finding the Fourth Proportional to 38,401,510,990,278, 52,994,124,386,986 and 20,842,836,368,160
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Solution
The fourth proportional to 38,401,510,990,278, 52,994,124,386,986 and 20,842,836,368,160 is: 28,763,135,475,359.34
Step by Step Solution
- Step 1: Write the proportion equation
38,401,510,990,278 : 52,994,124,386,986 = 20,842,836,368,160 : x - Step 2: Convert to fraction form
38,401,510,990,278/52,994,124,386,986 = 20,842,836,368,160/x - Step 3: Cross multiply
38,401,510,990,278x = 52,994,124,386,986 × 20,842,836,368,160 - Step 4: Simplify right side
38,401,510,990,278x = 1,104,547,863,071,866,612,780,892,160 - Step 5: Solve for x
x = 1,104,547,863,071,866,612,780,892,160/38,401,510,990,278 - Step 6: Final answer
x = 28,763,135,475,359.34
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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.