Finding the Fourth Proportional to 2,105,001,595,412, 3,157,129,151,861.60 and 957,365,009,678.28
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Solution
The fourth proportional to 2,105,001,595,412, 3,157,129,151,861.60 and 957,365,009,678.28 is: 1,435,877,762,570.52
Step by Step Solution
- Step 1: Write the proportion equation
2,105,001,595,412 : 3,157,129,151,861.60 = 957,365,009,678.28 : x - Step 2: Convert to fraction form
2,105,001,595,412/3,157,129,151,861.60 = 957,365,009,678.28/x - Step 3: Cross multiply
2,105,001,595,412x = 3,157,129,151,861.60 × 957,365,009,678.28 - Step 4: Simplify right side
2,105,001,595,412x = 3,022,524,981,027,561,038,413,824 - Step 5: Solve for x
x = 3,022,524,981,027,561,038,413,824/2,105,001,595,412 - Step 6: Final answer
x = 1,435,877,762,570.52
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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.