Finding the Fourth Proportional to 18,424,380,774,309, 25,426,444,704,912 and 10,203,033,485,806
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Solution
The fourth proportional to 18,424,380,774,309, 25,426,444,704,912 and 10,203,033,485,806 is: 14,080,628,810,654.91
Step by Step Solution
- Step 1: Write the proportion equation
18,424,380,774,309 : 25,426,444,704,912 = 10,203,033,485,806 : x - Step 2: Convert to fraction form
18,424,380,774,309/25,426,444,704,912 = 10,203,033,485,806/x - Step 3: Cross multiply
18,424,380,774,309x = 25,426,444,704,912 × 10,203,033,485,806 - Step 4: Simplify right side
18,424,380,774,309x = 259,426,866,749,211,781,846,007,808 - Step 5: Solve for x
x = 259,426,866,749,211,781,846,007,808/18,424,380,774,309 - Step 6: Final answer
x = 14,080,628,810,654.91
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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.