Finding the Fourth Proportional to 1,449,928,744,738.30, 2,174,294,733,744.60 and 494,944,261,345.56
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Solution
The fourth proportional to 1,449,928,744,738.30, 2,174,294,733,744.60 and 494,944,261,345.56 is: 742,212,129,282.95
Step by Step Solution
- Step 1: Write the proportion equation
1,449,928,744,738.30 : 2,174,294,733,744.60 = 494,944,261,345.56 : x - Step 2: Convert to fraction form
1,449,928,744,738.30/2,174,294,733,744.60 = 494,944,261,345.56/x - Step 3: Cross multiply
1,449,928,744,738.30x = 2,174,294,733,744.60 × 494,944,261,345.56 - Step 4: Simplify right side
1,449,928,744,738.30x = 1,076,154,700,940,762,096,336,896 - Step 5: Solve for x
x = 1,076,154,700,940,762,096,336,896/1,449,928,744,738.30 - Step 6: Final answer
x = 742,212,129,282.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.