Finding the Fourth Proportional to 62,280,100,048,185, 85,938,638,602,254 and 34,147,089,494,469
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Solution
The fourth proportional to 62,280,100,048,185, 85,938,638,602,254 and 34,147,089,494,469 is: 47,118,652,364,295.88
Step by Step Solution
- Step 1: Write the proportion equation
62,280,100,048,185 : 85,938,638,602,254 = 34,147,089,494,469 : x - Step 2: Convert to fraction form
62,280,100,048,185/85,938,638,602,254 = 34,147,089,494,469/x - Step 3: Cross multiply
62,280,100,048,185x = 85,938,638,602,254 × 34,147,089,494,469 - Step 4: Simplify right side
62,280,100,048,185x = 2,934,554,383,383,995,715,424,354,304 - Step 5: Solve for x
x = 2,934,554,383,383,995,715,424,354,304/62,280,100,048,185 - Step 6: Final answer
x = 47,118,652,364,295.88
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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.