Finding the Fourth Proportional to 14,557,535,424,254, 20,090,030,380,866 and 8,061,656,085,191
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Solution
The fourth proportional to 14,557,535,424,254, 20,090,030,380,866 and 8,061,656,085,191 is: 11,125,435,106,394.74
Step by Step Solution
- Step 1: Write the proportion equation
14,557,535,424,254 : 20,090,030,380,866 = 8,061,656,085,191 : x - Step 2: Convert to fraction form
14,557,535,424,254/20,090,030,380,866 = 8,061,656,085,191/x - Step 3: Cross multiply
14,557,535,424,254x = 20,090,030,380,866 × 8,061,656,085,191 - Step 4: Simplify right side
14,557,535,424,254x = 161,958,915,671,580,462,507,098,112 - Step 5: Solve for x
x = 161,958,915,671,580,462,507,098,112/14,557,535,424,254 - Step 6: Final answer
x = 11,125,435,106,394.74
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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.