Finding the Fourth Proportional to 399,447,218,014.10, 599,110,287,219.75 and 108,714,469,536.20
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Solution
The fourth proportional to 399,447,218,014.10, 599,110,287,219.75 and 108,714,469,536.20 is: 163,055,227,653.32
Step by Step Solution
- Step 1: Write the proportion equation
399,447,218,014.10 : 599,110,287,219.75 = 108,714,469,536.20 : x - Step 2: Convert to fraction form
399,447,218,014.10/599,110,287,219.75 = 108,714,469,536.20/x - Step 3: Cross multiply
399,447,218,014.10x = 599,110,287,219.75 × 108,714,469,536.20 - Step 4: Simplify right side
399,447,218,014.10x = 65,131,957,068,775,540,391,936 - Step 5: Solve for x
x = 65,131,957,068,775,540,391,936/399,447,218,014.10 - Step 6: Final answer
x = 163,055,227,653.32
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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.