Finding the Fourth Proportional to 3,133,345,586,473.20, 4,702,165,281,973 and 1,093,580,654,314.10
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Solution
The fourth proportional to 3,133,345,586,473.20, 4,702,165,281,973 and 1,093,580,654,314.10 is: 1,641,120,279,854.28
Step by Step Solution
- Step 1: Write the proportion equation
3,133,345,586,473.20 : 4,702,165,281,973 = 1,093,580,654,314.10 : x - Step 2: Convert to fraction form
3,133,345,586,473.20/4,702,165,281,973 = 1,093,580,654,314.10/x - Step 3: Cross multiply
3,133,345,586,473.20x = 4,702,165,281,973 × 1,093,580,654,314.10 - Step 4: Simplify right side
3,133,345,586,473.20x = 5,142,196,985,753,077,249,212,416 - Step 5: Solve for x
x = 5,142,196,985,753,077,249,212,416/3,133,345,586,473.20 - Step 6: Final answer
x = 1,641,120,279,854.28
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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.