Finding the Fourth Proportional to 82,708,266,277.75, 114,134,394,114.38 and 46,084,489,346.74
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Solution
The fourth proportional to 82,708,266,277.75, 114,134,394,114.38 and 46,084,489,346.74 is: 63,594,916,280.77
Step by Step Solution
- Step 1: Write the proportion equation
82,708,266,277.75 : 114,134,394,114.38 = 46,084,489,346.74 : x - Step 2: Convert to fraction form
82,708,266,277.75/114,134,394,114.38 = 46,084,489,346.74/x - Step 3: Cross multiply
82,708,266,277.75x = 114,134,394,114.38 × 46,084,489,346.74 - Step 4: Simplify right side
82,708,266,277.75x = 5,259,825,269,660,769,583,104 - Step 5: Solve for x
x = 5,259,825,269,660,769,583,104/82,708,266,277.75 - Step 6: Final answer
x = 63,594,916,280.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.