Finding the Fourth Proportional to 8,442,629,575,688.40, 11,650,189,419,023 and 4,738,130,424,884.40
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Solution
The fourth proportional to 8,442,629,575,688.40, 11,650,189,419,023 and 4,738,130,424,884.40 is: 6,538,261,148,030.80
Step by Step Solution
- Step 1: Write the proportion equation
8,442,629,575,688.40 : 11,650,189,419,023 = 4,738,130,424,884.40 : x - Step 2: Convert to fraction form
8,442,629,575,688.40/11,650,189,419,023 = 4,738,130,424,884.40/x - Step 3: Cross multiply
8,442,629,575,688.40x = 11,650,189,419,023 × 4,738,130,424,884.40 - Step 4: Simplify right side
8,442,629,575,688.40x = 55,200,116,941,939,193,199,722,496 - Step 5: Solve for x
x = 55,200,116,941,939,193,199,722,496/8,442,629,575,688.40 - Step 6: Final answer
x = 6,538,261,148,030.80
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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.