Finding the Fourth Proportional to 35,226,367,937,144, 48,613,894,436,260 and 19,618,651,441,408
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Solution
The fourth proportional to 35,226,367,937,144, 48,613,894,436,260 and 19,618,651,441,408 is: 27,074,578,107,404.89
Step by Step Solution
- Step 1: Write the proportion equation
35,226,367,937,144 : 48,613,894,436,260 = 19,618,651,441,408 : x - Step 2: Convert to fraction form
35,226,367,937,144/48,613,894,436,260 = 19,618,651,441,408/x - Step 3: Cross multiply
35,226,367,937,144x = 48,613,894,436,260 × 19,618,651,441,408 - Step 4: Simplify right side
35,226,367,937,144x = 953,739,050,154,388,592,235,905,024 - Step 5: Solve for x
x = 953,739,050,154,388,592,235,905,024/35,226,367,937,144 - Step 6: Final answer
x = 27,074,578,107,404.89
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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.