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Finding the Fourth Proportional to 155,144,058,793.65, 232,716,088,190.47 and 155,144,058,793.65

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Solution

The fourth proportional to 155,144,058,793.65, 232,716,088,190.47 and 155,144,058,793.65 is: 232,716,088,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,144,058,793.65 : 232,716,088,190.47 = 155,144,058,793.65 : x
  2. Step 2: Convert to fraction form
    155,144,058,793.65/232,716,088,190.47 = 155,144,058,793.65/x
  3. Step 3: Cross multiply
    155,144,058,793.65x = 232,716,088,190.47 × 155,144,058,793.65
  4. Step 4: Simplify right side
    155,144,058,793.65x = 36,104,518,468,450,513,846,272
  5. Step 5: Solve for x
    x = 36,104,518,468,450,513,846,272/155,144,058,793.65
  6. Step 6: Final answer
    x = 232,716,088,190.47

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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.