Finding the Fourth Proportional to 1,516,532,496,953.80, 2,092,814,340,659.80 and 831,405,512,859.84
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Solution
The fourth proportional to 1,516,532,496,953.80, 2,092,814,340,659.80 and 831,405,512,859.84 is: 1,147,339,330,816.66
Step by Step Solution
- Step 1: Write the proportion equation
1,516,532,496,953.80 : 2,092,814,340,659.80 = 831,405,512,859.84 : x - Step 2: Convert to fraction form
1,516,532,496,953.80/2,092,814,340,659.80 = 831,405,512,859.84/x - Step 3: Cross multiply
1,516,532,496,953.80x = 2,092,814,340,659.80 × 831,405,512,859.84 - Step 4: Simplify right side
1,516,532,496,953.80x = 1,739,977,380,216,688,814,850,048 - Step 5: Solve for x
x = 1,739,977,380,216,688,814,850,048/1,516,532,496,953.80 - Step 6: Final answer
x = 1,147,339,330,816.66
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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.