Finding the Fourth Proportional to 313,146,364,188.42, 469,527,311,783.25 and 121,694,859,415.98
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Solution
The fourth proportional to 313,146,364,188.42, 469,527,311,783.25 and 121,694,859,415.98 is: 182,467,583,002.32
Step by Step Solution
- Step 1: Write the proportion equation
313,146,364,188.42 : 469,527,311,783.25 = 121,694,859,415.98 : x - Step 2: Convert to fraction form
313,146,364,188.42/469,527,311,783.25 = 121,694,859,415.98/x - Step 3: Cross multiply
313,146,364,188.42x = 469,527,311,783.25 × 121,694,859,415.98 - Step 4: Simplify right side
313,146,364,188.42x = 57,139,060,199,425,616,904,192 - Step 5: Solve for x
x = 57,139,060,199,425,616,904,192/313,146,364,188.42 - Step 6: Final answer
x = 182,467,583,002.32
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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.