Finding the Fourth Proportional to 201,899,062,313.80, 302,848,593,470.70 and 97,413,510,185.80
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Solution
The fourth proportional to 201,899,062,313.80, 302,848,593,470.70 and 97,413,510,185.80 is: 146,120,265,278.70
Step by Step Solution
- Step 1: Write the proportion equation
201,899,062,313.80 : 302,848,593,470.70 = 97,413,510,185.80 : x - Step 2: Convert to fraction form
201,899,062,313.80/302,848,593,470.70 = 97,413,510,185.80/x - Step 3: Cross multiply
201,899,062,313.80x = 302,848,593,470.70 × 97,413,510,185.80 - Step 4: Simplify right side
201,899,062,313.80x = 29,501,544,544,813,239,500,800 - Step 5: Solve for x
x = 29,501,544,544,813,239,500,800/201,899,062,313.80 - Step 6: Final answer
x = 146,120,265,278.70
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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.