Finding the Fourth Proportional to 14,578,365,735,678, 21,852,241,075,096 and 4,905,010,689,940
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Solution
The fourth proportional to 14,578,365,735,678, 21,852,241,075,096 and 4,905,010,689,940 is: 7,352,365,691,455.67
Step by Step Solution
- Step 1: Write the proportion equation
14,578,365,735,678 : 21,852,241,075,096 = 4,905,010,689,940 : x - Step 2: Convert to fraction form
14,578,365,735,678/21,852,241,075,096 = 4,905,010,689,940/x - Step 3: Cross multiply
14,578,365,735,678x = 21,852,241,075,096 × 4,905,010,689,940 - Step 4: Simplify right side
14,578,365,735,678x = 107,185,476,072,491,834,918,567,936 - Step 5: Solve for x
x = 107,185,476,072,491,834,918,567,936/14,578,365,735,678 - Step 6: Final answer
x = 7,352,365,691,455.67
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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.