Finding the Fourth Proportional to 201,899,062,306.80, 302,848,593,460.20 and 97,413,510,178.80
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Solution
The fourth proportional to 201,899,062,306.80, 302,848,593,460.20 and 97,413,510,178.80 is: 146,120,265,268.20
Step by Step Solution
- Step 1: Write the proportion equation
201,899,062,306.80 : 302,848,593,460.20 = 97,413,510,178.80 : x - Step 2: Convert to fraction form
201,899,062,306.80/302,848,593,460.20 = 97,413,510,178.80/x - Step 3: Cross multiply
201,899,062,306.80x = 302,848,593,460.20 × 97,413,510,178.80 - Step 4: Simplify right side
201,899,062,306.80x = 29,501,544,541,670,455,902,208 - Step 5: Solve for x
x = 29,501,544,541,670,455,902,208/201,899,062,306.80 - Step 6: Final answer
x = 146,120,265,268.20
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1.5x scale
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.