Finding the Fourth Proportional to 299,276,145,546, 412,997,790,672.36 and 162,095,559,218.96
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Solution
The fourth proportional to 299,276,145,546, 412,997,790,672.36 and 162,095,559,218.96 is: 223,690,089,676.53
Step by Step Solution
- Step 1: Write the proportion equation
299,276,145,546 : 412,997,790,672.36 = 162,095,559,218.96 : x - Step 2: Convert to fraction form
299,276,145,546/412,997,790,672.36 = 162,095,559,218.96/x - Step 3: Cross multiply
299,276,145,546x = 412,997,790,672.36 × 162,095,559,218.96 - Step 4: Simplify right side
299,276,145,546x = 66,945,107,835,231,169,150,976 - Step 5: Solve for x
x = 66,945,107,835,231,169,150,976/299,276,145,546 - Step 6: Final answer
x = 223,690,089,676.53
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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.