Finding the Fourth Proportional to 25,532,189,689,092, 35,234,455,749,366 and 13,826,424,382,099
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Solution
The fourth proportional to 25,532,189,689,092, 35,234,455,749,366 and 13,826,424,382,099 is: 19,080,484,047,600.21
Step by Step Solution
- Step 1: Write the proportion equation
25,532,189,689,092 : 35,234,455,749,366 = 13,826,424,382,099 : x - Step 2: Convert to fraction form
25,532,189,689,092/35,234,455,749,366 = 13,826,424,382,099/x - Step 3: Cross multiply
25,532,189,689,092x = 35,234,455,749,366 × 13,826,424,382,099 - Step 4: Simplify right side
25,532,189,689,092x = 487,166,538,063,022,385,507,860,480 - Step 5: Solve for x
x = 487,166,538,063,022,385,507,860,480/25,532,189,689,092 - Step 6: Final answer
x = 19,080,484,047,600.21
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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.