Finding the Fourth Proportional to 5,178,325,631.80, 7,768,244,274.90 and 1,684,136,486.20
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Solution
The fourth proportional to 5,178,325,631.80, 7,768,244,274.90 and 1,684,136,486.20 is: 2,526,450,545.47
Step by Step Solution
- Step 1: Write the proportion equation
5,178,325,631.80 : 7,768,244,274.90 = 1,684,136,486.20 : x - Step 2: Convert to fraction form
5,178,325,631.80/7,768,244,274.90 = 1,684,136,486.20/x - Step 3: Cross multiply
5,178,325,631.80x = 7,768,244,274.90 × 1,684,136,486.20 - Step 4: Simplify right side
5,178,325,631.80x = 13,082,783,617,073,352,704 - Step 5: Solve for x
x = 13,082,783,617,073,352,704/5,178,325,631.80 - Step 6: Final answer
x = 2,526,450,545.47
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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.