Finding the Fourth Proportional to 1,409,158,639,169.30, 2,112,872,903,506.80 and 547,626,867,694.11
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Solution
The fourth proportional to 1,409,158,639,169.30, 2,112,872,903,506.80 and 547,626,867,694.11 is: 821,104,123,993.65
Step by Step Solution
- Step 1: Write the proportion equation
1,409,158,639,169.30 : 2,112,872,903,506.80 = 547,626,867,694.11 : x - Step 2: Convert to fraction form
1,409,158,639,169.30/2,112,872,903,506.80 = 547,626,867,694.11/x - Step 3: Cross multiply
1,409,158,639,169.30x = 2,112,872,903,506.80 × 547,626,867,694.11 - Step 4: Simplify right side
1,409,158,639,169.30x = 1,157,065,969,983,188,396,670,976 - Step 5: Solve for x
x = 1,157,065,969,983,188,396,670,976/1,409,158,639,169.30 - Step 6: Final answer
x = 821,104,123,993.65
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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.