Finding the Fourth Proportional to 229,021,744,246.12, 343,417,681,624.08 and 133,438,652,601.68
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Solution
The fourth proportional to 229,021,744,246.12, 343,417,681,624.08 and 133,438,652,601.68 is: 200,091,012,608.23
Step by Step Solution
- Step 1: Write the proportion equation
229,021,744,246.12 : 343,417,681,624.08 = 133,438,652,601.68 : x - Step 2: Convert to fraction form
229,021,744,246.12/343,417,681,624.08 = 133,438,652,601.68/x - Step 3: Cross multiply
229,021,744,246.12x = 343,417,681,624.08 × 133,438,652,601.68 - Step 4: Simplify right side
229,021,744,246.12x = 45,825,192,715,509,955,559,424 - Step 5: Solve for x
x = 45,825,192,715,509,955,559,424/229,021,744,246.12 - Step 6: Final answer
x = 200,091,012,608.23
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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.