Finding the Fourth Proportional to 20,165,689,968.98, 27,831,092,482.70 and 11,477,257,659.42
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Solution
The fourth proportional to 20,165,689,968.98, 27,831,092,482.70 and 11,477,257,659.42 is: 15,840,004,475.84
Step by Step Solution
- Step 1: Write the proportion equation
20,165,689,968.98 : 27,831,092,482.70 = 11,477,257,659.42 : x - Step 2: Convert to fraction form
20,165,689,968.98/27,831,092,482.70 = 11,477,257,659.42/x - Step 3: Cross multiply
20,165,689,968.98x = 27,831,092,482.70 × 11,477,257,659.42 - Step 4: Simplify right side
20,165,689,968.98x = 319,424,619,366,999,982,080 - Step 5: Solve for x
x = 319,424,619,366,999,982,080/20,165,689,968.98 - Step 6: Final answer
x = 15,840,004,475.84
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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.