Finding the Fourth Proportional to 2,649,462,586,798.20, 3,659,274,335,267.60 and 1,780,859,357,576
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Solution
The fourth proportional to 2,649,462,586,798.20, 3,659,274,335,267.60 and 1,780,859,357,576 is: 2,459,613,120,928.87
Step by Step Solution
- Step 1: Write the proportion equation
2,649,462,586,798.20 : 3,659,274,335,267.60 = 1,780,859,357,576 : x - Step 2: Convert to fraction form
2,649,462,586,798.20/3,659,274,335,267.60 = 1,780,859,357,576/x - Step 3: Cross multiply
2,649,462,586,798.20x = 3,659,274,335,267.60 × 1,780,859,357,576 - Step 4: Simplify right side
2,649,462,586,798.20x = 6,516,652,941,899,003,213,119,488 - Step 5: Solve for x
x = 6,516,652,941,899,003,213,119,488/2,649,462,586,798.20 - Step 6: Final answer
x = 2,459,613,120,928.87
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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.