Finding the Fourth Proportional to 1,984,484,703.42, 2,738,562,158.79 and 1,104,418,174.14
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Solution
The fourth proportional to 1,984,484,703.42, 2,738,562,158.79 and 1,104,418,174.14 is: 1,524,082,203.29
Step by Step Solution
- Step 1: Write the proportion equation
1,984,484,703.42 : 2,738,562,158.79 = 1,104,418,174.14 : x - Step 2: Convert to fraction form
1,984,484,703.42/2,738,562,158.79 = 1,104,418,174.14/x - Step 3: Cross multiply
1,984,484,703.42x = 2,738,562,158.79 × 1,104,418,174.14 - Step 4: Simplify right side
1,984,484,703.42x = 3,024,517,819,179,748,864 - Step 5: Solve for x
x = 3,024,517,819,179,748,864/1,984,484,703.42 - Step 6: Final answer
x = 1,524,082,203.29
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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.