Finding the Fourth Proportional to 174,201,282,402.26, 240,365,857,066.14 and 97,037,201,871.42
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Solution
The fourth proportional to 174,201,282,402.26, 240,365,857,066.14 and 97,037,201,871.42 is: 133,893,561,938.68
Step by Step Solution
- Step 1: Write the proportion equation
174,201,282,402.26 : 240,365,857,066.14 = 97,037,201,871.42 : x - Step 2: Convert to fraction form
174,201,282,402.26/240,365,857,066.14 = 97,037,201,871.42/x - Step 3: Cross multiply
174,201,282,402.26x = 240,365,857,066.14 × 97,037,201,871.42 - Step 4: Simplify right side
174,201,282,402.26x = 23,324,430,195,123,915,063,296 - Step 5: Solve for x
x = 23,324,430,195,123,915,063,296/174,201,282,402.26 - Step 6: Final answer
x = 133,893,561,938.68
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1.5x scale
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.