Finding the Fourth Proportional to 990,109,089,749.79, 1,485,161,780,781.20 and 310,239,492,955.05
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Solution
The fourth proportional to 990,109,089,749.79, 1,485,161,780,781.20 and 310,239,492,955.05 is: 465,358,658,551.67
Step by Step Solution
- Step 1: Write the proportion equation
990,109,089,749.79 : 1,485,161,780,781.20 = 310,239,492,955.05 : x - Step 2: Convert to fraction form
990,109,089,749.79/1,485,161,780,781.20 = 310,239,492,955.05/x - Step 3: Cross multiply
990,109,089,749.79x = 1,485,161,780,781.20 × 310,239,492,955.05 - Step 4: Simplify right side
990,109,089,749.79x = 460,755,837,825,778,590,941,184 - Step 5: Solve for x
x = 460,755,837,825,778,590,941,184/990,109,089,749.79 - Step 6: Final answer
x = 465,358,658,551.67
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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.