Finding the Fourth Proportional to 1,745,614,081,970.70, 2,408,598,057,309.20 and 974,744,163,982.92
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Solution
The fourth proportional to 1,745,614,081,970.70, 2,408,598,057,309.20 and 974,744,163,982.92 is: 1,344,951,856,192.78
Step by Step Solution
- Step 1: Write the proportion equation
1,745,614,081,970.70 : 2,408,598,057,309.20 = 974,744,163,982.92 : x - Step 2: Convert to fraction form
1,745,614,081,970.70/2,408,598,057,309.20 = 974,744,163,982.92/x - Step 3: Cross multiply
1,745,614,081,970.70x = 2,408,598,057,309.20 × 974,744,163,982.92 - Step 4: Simplify right side
1,745,614,081,970.70x = 2,347,766,899,742,741,727,543,296 - Step 5: Solve for x
x = 2,347,766,899,742,741,727,543,296/1,745,614,081,970.70 - Step 6: Final answer
x = 1,344,951,856,192.78
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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.