Finding the Fourth Proportional to 12,104,830,966,021, 18,157,246,449,032 and 12,104,830,966,021
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Solution
The fourth proportional to 12,104,830,966,021, 18,157,246,449,032 and 12,104,830,966,021 is: 18,157,246,449,032
Step by Step Solution
- Step 1: Write the proportion equation
12,104,830,966,021 : 18,157,246,449,032 = 12,104,830,966,021 : x - Step 2: Convert to fraction form
12,104,830,966,021/18,157,246,449,032 = 12,104,830,966,021/x - Step 3: Cross multiply
12,104,830,966,021x = 18,157,246,449,032 × 12,104,830,966,021 - Step 4: Simplify right side
12,104,830,966,021x = 219,790,399,073,917,385,180,184,576 - Step 5: Solve for x
x = 219,790,399,073,917,385,180,184,576/12,104,830,966,021 - Step 6: Final answer
x = 18,157,246,449,032
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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.