Finding the Fourth Proportional to 801,427,423,455.75, 1,202,141,135,183.50 and 801,427,423,455.75
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Solution
The fourth proportional to 801,427,423,455.75, 1,202,141,135,183.50 and 801,427,423,455.75 is: 1,202,141,135,183.50
Step by Step Solution
- Step 1: Write the proportion equation
801,427,423,455.75 : 1,202,141,135,183.50 = 801,427,423,455.75 : x - Step 2: Convert to fraction form
801,427,423,455.75/1,202,141,135,183.50 = 801,427,423,455.75/x - Step 3: Cross multiply
801,427,423,455.75x = 1,202,141,135,183.50 × 801,427,423,455.75 - Step 4: Simplify right side
801,427,423,455.75x = 963,428,872,600,282,829,160,448 - Step 5: Solve for x
x = 963,428,872,600,282,829,160,448/801,427,423,455.75 - Step 6: Final answer
x = 1,202,141,135,183.50
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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.