Finding the Fourth Proportional to 689,653,419,210.80, 1,034,480,128,816.20 and 407,542,428,465.20
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Solution
The fourth proportional to 689,653,419,210.80, 1,034,480,128,816.20 and 407,542,428,465.20 is: 611,313,642,697.80
Step by Step Solution
- Step 1: Write the proportion equation
689,653,419,210.80 : 1,034,480,128,816.20 = 407,542,428,465.20 : x - Step 2: Convert to fraction form
689,653,419,210.80/1,034,480,128,816.20 = 407,542,428,465.20/x - Step 3: Cross multiply
689,653,419,210.80x = 1,034,480,128,816.20 × 407,542,428,465.20 - Step 4: Simplify right side
689,653,419,210.80x = 421,594,543,896,747,090,903,040 - Step 5: Solve for x
x = 421,594,543,896,747,090,903,040/689,653,419,210.80 - Step 6: Final answer
x = 611,313,642,697.80
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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.