Finding the Fourth Proportional to 53,756,092,317,021, 74,182,617,910,986 and 30,025,457,382,742
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Solution
The fourth proportional to 53,756,092,317,021, 74,182,617,910,986 and 30,025,457,382,742 is: 41,434,690,220,614.93
Step by Step Solution
- Step 1: Write the proportion equation
53,756,092,317,021 : 74,182,617,910,986 = 30,025,457,382,742 : x - Step 2: Convert to fraction form
53,756,092,317,021/74,182,617,910,986 = 30,025,457,382,742/x - Step 3: Cross multiply
53,756,092,317,021x = 74,182,617,910,986 × 30,025,457,382,742 - Step 4: Simplify right side
53,756,092,317,021x = 2,227,367,032,626,543,444,019,380,224 - Step 5: Solve for x
x = 2,227,367,032,626,543,444,019,380,224/53,756,092,317,021 - Step 6: Final answer
x = 41,434,690,220,614.93
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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.