Finding the Fourth Proportional to 2,649,462,586,797.20, 3,659,274,335,266.20 and 1,780,859,357,575
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Solution
The fourth proportional to 2,649,462,586,797.20, 3,659,274,335,266.20 and 1,780,859,357,575 is: 2,459,613,120,927.48
Step by Step Solution
- Step 1: Write the proportion equation
2,649,462,586,797.20 : 3,659,274,335,266.20 = 1,780,859,357,575 : x - Step 2: Convert to fraction form
2,649,462,586,797.20/3,659,274,335,266.20 = 1,780,859,357,575/x - Step 3: Cross multiply
2,649,462,586,797.20x = 3,659,274,335,266.20 × 1,780,859,357,575 - Step 4: Simplify right side
2,649,462,586,797.20x = 6,516,652,941,892,850,672,467,968 - Step 5: Solve for x
x = 6,516,652,941,892,850,672,467,968/2,649,462,586,797.20 - Step 6: Final answer
x = 2,459,613,120,927.48
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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.