Finding the Fourth Proportional to 30,505,690,412,534, 42,096,640,213,652 and 18,009,445,718,520
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Solution
The fourth proportional to 30,505,690,412,534, 42,096,640,213,652 and 18,009,445,718,520 is: 24,852,319,242,980.74
Step by Step Solution
- Step 1: Write the proportion equation
30,505,690,412,534 : 42,096,640,213,652 = 18,009,445,718,520 : x - Step 2: Convert to fraction form
30,505,690,412,534/42,096,640,213,652 = 18,009,445,718,520/x - Step 3: Cross multiply
30,505,690,412,534x = 42,096,640,213,652 × 18,009,445,718,520 - Step 4: Simplify right side
30,505,690,412,534x = 758,137,156,859,831,867,509,047,296 - Step 5: Solve for x
x = 758,137,156,859,831,867,509,047,296/30,505,690,412,534 - Step 6: Final answer
x = 24,852,319,242,980.74
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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.