Finding the Fourth Proportional to 212,306,861,247.24, 318,461,482,397.34 and 70,815,894,483.14
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Solution
The fourth proportional to 212,306,861,247.24, 318,461,482,397.34 and 70,815,894,483.14 is: 106,224,238,830.09
Step by Step Solution
- Step 1: Write the proportion equation
212,306,861,247.24 : 318,461,482,397.34 = 70,815,894,483.14 : x - Step 2: Convert to fraction form
212,306,861,247.24/318,461,482,397.34 = 70,815,894,483.14/x - Step 3: Cross multiply
212,306,861,247.24x = 318,461,482,397.34 × 70,815,894,483.14 - Step 4: Simplify right side
212,306,861,247.24x = 22,552,134,734,394,377,109,504 - Step 5: Solve for x
x = 22,552,134,734,394,377,109,504/212,306,861,247.24 - Step 6: Final answer
x = 106,224,238,830.09
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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.