Finding the Fourth Proportional to 49,131,682,064,540, 67,803,852,546,028 and 27,208,089,295,200
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Solution
The fourth proportional to 49,131,682,064,540, 67,803,852,546,028 and 27,208,089,295,200 is: 37,548,343,494,683
Step by Step Solution
- Step 1: Write the proportion equation
49,131,682,064,540 : 67,803,852,546,028 = 27,208,089,295,200 : x - Step 2: Convert to fraction form
49,131,682,064,540/67,803,852,546,028 = 27,208,089,295,200/x - Step 3: Cross multiply
49,131,682,064,540x = 67,803,852,546,028 × 27,208,089,295,200 - Step 4: Simplify right side
49,131,682,064,540x = 1,844,813,274,630,903,788,363,317,248 - Step 5: Solve for x
x = 1,844,813,274,630,903,788,363,317,248/49,131,682,064,540 - Step 6: Final answer
x = 37,548,343,494,683
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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.