Finding the Fourth Proportional to 2,022,007,610,357.40, 3,034,054,182,736.20 and 947,672,676,183.09
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Solution
The fourth proportional to 2,022,007,610,357.40, 3,034,054,182,736.20 and 947,672,676,183.09 is: 1,421,997,737,451.59
Step by Step Solution
- Step 1: Write the proportion equation
2,022,007,610,357.40 : 3,034,054,182,736.20 = 947,672,676,183.09 : x - Step 2: Convert to fraction form
2,022,007,610,357.40/3,034,054,182,736.20 = 947,672,676,183.09/x - Step 3: Cross multiply
2,022,007,610,357.40x = 3,034,054,182,736.20 × 947,672,676,183.09 - Step 4: Simplify right side
2,022,007,610,357.40x = 2,875,290,247,038,112,840,548,352 - Step 5: Solve for x
x = 2,875,290,247,038,112,840,548,352/2,022,007,610,357.40 - Step 6: Final answer
x = 1,421,997,737,451.59
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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.