Finding the Fourth Proportional to 20,992,502,790,899, 31,454,368,014,960 and 11,180,157,841,667
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Solution
The fourth proportional to 20,992,502,790,899, 31,454,368,014,960 and 11,180,157,841,667 is: 16,751,923,423,327.78
Step by Step Solution
- Step 1: Write the proportion equation
20,992,502,790,899 : 31,454,368,014,960 = 11,180,157,841,667 : x - Step 2: Convert to fraction form
20,992,502,790,899/31,454,368,014,960 = 11,180,157,841,667/x - Step 3: Cross multiply
20,992,502,790,899x = 31,454,368,014,960 × 11,180,157,841,667 - Step 4: Simplify right side
20,992,502,790,899x = 351,664,799,217,134,714,679,721,984 - Step 5: Solve for x
x = 351,664,799,217,134,714,679,721,984/20,992,502,790,899 - Step 6: Final answer
x = 16,751,923,423,327.78
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.