Finding the Fourth Proportional to 413,438,135,409.60, 620,157,203,114.40 and 347,318,371,953.60
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Solution
The fourth proportional to 413,438,135,409.60, 620,157,203,114.40 and 347,318,371,953.60 is: 520,977,557,930.40
Step by Step Solution
- Step 1: Write the proportion equation
413,438,135,409.60 : 620,157,203,114.40 = 347,318,371,953.60 : x - Step 2: Convert to fraction form
413,438,135,409.60/620,157,203,114.40 = 347,318,371,953.60/x - Step 3: Cross multiply
413,438,135,409.60x = 620,157,203,114.40 × 347,318,371,953.60 - Step 4: Simplify right side
413,438,135,409.60x = 215,391,990,140,991,432,556,544 - Step 5: Solve for x
x = 215,391,990,140,991,432,556,544/413,438,135,409.60 - Step 6: Final answer
x = 520,977,557,930.40
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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.