Finding the Fourth Proportional to 689,653,419,246.30, 1,034,480,128,869.50 and 407,542,428,500.70
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Solution
The fourth proportional to 689,653,419,246.30, 1,034,480,128,869.50 and 407,542,428,500.70 is: 611,313,642,751.08
Step by Step Solution
- Step 1: Write the proportion equation
689,653,419,246.30 : 1,034,480,128,869.50 = 407,542,428,500.70 : x - Step 2: Convert to fraction form
689,653,419,246.30/1,034,480,128,869.50 = 407,542,428,500.70/x - Step 3: Cross multiply
689,653,419,246.30x = 1,034,480,128,869.50 × 407,542,428,500.70 - Step 4: Simplify right side
689,653,419,246.30x = 421,594,543,955,193,140,084,736 - Step 5: Solve for x
x = 421,594,543,955,193,140,084,736/689,653,419,246.30 - Step 6: Final answer
x = 611,313,642,751.08
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1.5x scale
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.