Finding the Fourth Proportional to 82,305,937,903.48, 123,464,857,202.68 and 34,450,817,980.68
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Solution
The fourth proportional to 82,305,937,903.48, 123,464,857,202.68 and 34,450,817,980.68 is: 51,678,717,609.52
Step by Step Solution
- Step 1: Write the proportion equation
82,305,937,903.48 : 123,464,857,202.68 = 34,450,817,980.68 : x - Step 2: Convert to fraction form
82,305,937,903.48/123,464,857,202.68 = 34,450,817,980.68/x - Step 3: Cross multiply
82,305,937,903.48x = 123,464,857,202.68 × 34,450,817,980.68 - Step 4: Simplify right side
82,305,937,903.48x = 4,253,465,322,500,176,478,208 - Step 5: Solve for x
x = 4,253,465,322,500,176,478,208/82,305,937,903.48 - Step 6: Final answer
x = 51,678,717,609.52
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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.