Finding the Fourth Proportional to 1,746,795,457,568.10, 2,620,474,739,586.90 and 538,045,306,292.23
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Solution
The fourth proportional to 1,746,795,457,568.10, 2,620,474,739,586.90 and 538,045,306,292.23 is: 807,154,683,041.71
Step by Step Solution
- Step 1: Write the proportion equation
1,746,795,457,568.10 : 2,620,474,739,586.90 = 538,045,306,292.23 : x - Step 2: Convert to fraction form
1,746,795,457,568.10/2,620,474,739,586.90 = 538,045,306,292.23/x - Step 3: Cross multiply
1,746,795,457,568.10x = 2,620,474,739,586.90 × 538,045,306,292.23 - Step 4: Simplify right side
1,746,795,457,568.10x = 1,409,934,133,892,085,098,479,616 - Step 5: Solve for x
x = 1,409,934,133,892,085,098,479,616/1,746,795,457,568.10 - Step 6: Final answer
x = 807,154,683,041.71
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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.