Finding the Fourth Proportional to 3,133,345,586,438, 4,702,165,281,919.70 and 1,093,580,654,278.90
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Solution
The fourth proportional to 3,133,345,586,438, 4,702,165,281,919.70 and 1,093,580,654,278.90 is: 1,641,120,279,801.29
Step by Step Solution
- Step 1: Write the proportion equation
3,133,345,586,438 : 4,702,165,281,919.70 = 1,093,580,654,278.90 : x - Step 2: Convert to fraction form
3,133,345,586,438/4,702,165,281,919.70 = 1,093,580,654,278.90/x - Step 3: Cross multiply
3,133,345,586,438x = 4,702,165,281,919.70 × 1,093,580,654,278.90 - Step 4: Simplify right side
3,133,345,586,438x = 5,142,196,985,529,274,019,610,624 - Step 5: Solve for x
x = 5,142,196,985,529,274,019,610,624/3,133,345,586,438 - Step 6: Final answer
x = 1,641,120,279,801.29
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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.