Finding the Fourth Proportional to 1,463,902,938.06, 2,020,221,155.97 and 794,876,178.84
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Solution
The fourth proportional to 1,463,902,938.06, 2,020,221,155.97 and 794,876,178.84 is: 1,096,948,186.33
Step by Step Solution
- Step 1: Write the proportion equation
1,463,902,938.06 : 2,020,221,155.97 = 794,876,178.84 : x - Step 2: Convert to fraction form
1,463,902,938.06/2,020,221,155.97 = 794,876,178.84/x - Step 3: Cross multiply
1,463,902,938.06x = 2,020,221,155.97 × 794,876,178.84 - Step 4: Simplify right side
1,463,902,938.06x = 1,605,825,672,869,161,216 - Step 5: Solve for x
x = 1,605,825,672,869,161,216/1,463,902,938.06 - Step 6: Final answer
x = 1,096,948,186.33
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.