Finding the Fourth Proportional to 561,551,224,409.48, 842,297,170,361.42 and 184,193,308,566.92
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Solution
The fourth proportional to 561,551,224,409.48, 842,297,170,361.42 and 184,193,308,566.92 is: 276,280,232,081.36
Step by Step Solution
- Step 1: Write the proportion equation
561,551,224,409.48 : 842,297,170,361.42 = 184,193,308,566.92 : x - Step 2: Convert to fraction form
561,551,224,409.48/842,297,170,361.42 = 184,193,308,566.92/x - Step 3: Cross multiply
561,551,224,409.48x = 842,297,170,361.42 × 184,193,308,566.92 - Step 4: Simplify right side
561,551,224,409.48x = 155,145,502,605,424,633,839,616 - Step 5: Solve for x
x = 155,145,502,605,424,633,839,616/561,551,224,409.48 - Step 6: Final answer
x = 276,280,232,081.36
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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.