Finding the Fourth Proportional to 4,112,278,515,273, 5,674,868,006,304.30 and 2,260,347,079,265.10
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Solution
The fourth proportional to 4,112,278,515,273, 5,674,868,006,304.30 and 2,260,347,079,265.10 is: 3,119,237,005,865.43
Step by Step Solution
- Step 1: Write the proportion equation
4,112,278,515,273 : 5,674,868,006,304.30 = 2,260,347,079,265.10 : x - Step 2: Convert to fraction form
4,112,278,515,273/5,674,868,006,304.30 = 2,260,347,079,265.10/x - Step 3: Cross multiply
4,112,278,515,273x = 5,674,868,006,304.30 × 2,260,347,079,265.10 - Step 4: Simplify right side
4,112,278,515,273x = 12,827,171,323,264,885,915,123,712 - Step 5: Solve for x
x = 12,827,171,323,264,885,915,123,712/4,112,278,515,273 - Step 6: Final answer
x = 3,119,237,005,865.43
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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.