Finding the Fourth Proportional to 49,131,682,059,066, 67,803,852,538,476 and 27,208,089,289,724
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Solution
The fourth proportional to 49,131,682,059,066, 67,803,852,538,476 and 27,208,089,289,724 is: 37,548,343,487,127.19
Step by Step Solution
- Step 1: Write the proportion equation
49,131,682,059,066 : 67,803,852,538,476 = 27,208,089,289,724 : x - Step 2: Convert to fraction form
49,131,682,059,066/67,803,852,538,476 = 27,208,089,289,724/x - Step 3: Cross multiply
49,131,682,059,066x = 67,803,852,538,476 × 27,208,089,289,724 - Step 4: Simplify right side
49,131,682,059,066x = 1,844,813,274,054,134,348,170,395,648 - Step 5: Solve for x
x = 1,844,813,274,054,134,348,170,395,648/49,131,682,059,066 - Step 6: Final answer
x = 37,548,343,487,127.19
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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.