Finding the Fourth Proportional to 378,611,012,151.92, 567,951,430,612 and 123,641,731,986.40
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Solution
The fourth proportional to 378,611,012,151.92, 567,951,430,612 and 123,641,731,986.40 is: 185,473,999,200.12
Step by Step Solution
- Step 1: Write the proportion equation
378,611,012,151.92 : 567,951,430,612 = 123,641,731,986.40 : x - Step 2: Convert to fraction form
378,611,012,151.92/567,951,430,612 = 123,641,731,986.40/x - Step 3: Cross multiply
378,611,012,151.92x = 567,951,430,612 × 123,641,731,986.40 - Step 4: Simplify right side
378,611,012,151.92x = 70,222,498,565,021,358,882,816 - Step 5: Solve for x
x = 70,222,498,565,021,358,882,816/378,611,012,151.92 - Step 6: Final answer
x = 185,473,999,200.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.