Finding the Fourth Proportional to 295,097,821,517, 442,673,745,662.12 and 82,860,523,827.68
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Solution
The fourth proportional to 295,097,821,517, 442,673,745,662.12 and 82,860,523,827.68 is: 124,298,370,830.95
Step by Step Solution
- Step 1: Write the proportion equation
295,097,821,517 : 442,673,745,662.12 = 82,860,523,827.68 : x - Step 2: Convert to fraction form
295,097,821,517/442,673,745,662.12 = 82,860,523,827.68/x - Step 3: Cross multiply
295,097,821,517x = 442,673,745,662.12 × 82,860,523,827.68 - Step 4: Simplify right side
295,097,821,517x = 36,680,178,450,324,445,462,528 - Step 5: Solve for x
x = 36,680,178,450,324,445,462,528/295,097,821,517 - Step 6: Final answer
x = 124,298,370,830.95
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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.