Finding the Fourth Proportional to 1,425,432,526,797.20, 1,967,134,168,433.60 and 775,149,142,998.24
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Solution
The fourth proportional to 1,425,432,526,797.20, 1,967,134,168,433.60 and 775,149,142,998.24 is: 1,069,726,090,964.11
Step by Step Solution
- Step 1: Write the proportion equation
1,425,432,526,797.20 : 1,967,134,168,433.60 = 775,149,142,998.24 : x - Step 2: Convert to fraction form
1,425,432,526,797.20/1,967,134,168,433.60 = 775,149,142,998.24/x - Step 3: Cross multiply
1,425,432,526,797.20x = 1,967,134,168,433.60 × 775,149,142,998.24 - Step 4: Simplify right side
1,425,432,526,797.20x = 1,524,822,364,823,860,528,807,936 - Step 5: Solve for x
x = 1,524,822,364,823,860,528,807,936/1,425,432,526,797.20 - Step 6: Final answer
x = 1,069,726,090,964.11
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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.