Finding the Fourth Proportional to 2,089,839,698.12, 3,134,765,993.74 and 515,947,184.84
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Solution
The fourth proportional to 2,089,839,698.12, 3,134,765,993.74 and 515,947,184.84 is: 773,922,368.81
Step by Step Solution
- Step 1: Write the proportion equation
2,089,839,698.12 : 3,134,765,993.74 = 515,947,184.84 : x - Step 2: Convert to fraction form
2,089,839,698.12/3,134,765,993.74 = 515,947,184.84/x - Step 3: Cross multiply
2,089,839,698.12x = 3,134,765,993.74 × 515,947,184.84 - Step 4: Simplify right side
2,089,839,698.12x = 1,617,373,689,602,317,824 - Step 5: Solve for x
x = 1,617,373,689,602,317,824/2,089,839,698.12 - Step 6: Final answer
x = 773,922,368.81
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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.