Finding the Fourth Proportional to 1,799,409,232.14, 2,699,232,280.44 and 471,469,787.61
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Solution
The fourth proportional to 1,799,409,232.14, 2,699,232,280.44 and 471,469,787.61 is: 707,235,712.28
Step by Step Solution
- Step 1: Write the proportion equation
1,799,409,232.14 : 2,699,232,280.44 = 471,469,787.61 : x - Step 2: Convert to fraction form
1,799,409,232.14/2,699,232,280.44 = 471,469,787.61/x - Step 3: Cross multiply
1,799,409,232.14x = 2,699,232,280.44 × 471,469,787.61 - Step 4: Simplify right side
1,799,409,232.14x = 1,272,606,469,969,102,848 - Step 5: Solve for x
x = 1,272,606,469,969,102,848/1,799,409,232.14 - Step 6: Final answer
x = 707,235,712.28
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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.