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Finding the Fourth Proportional to 155,143,231,680.76, 232,714,847,521.14 and 155,143,231,680.76

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Solution

The fourth proportional to 155,143,231,680.76, 232,714,847,521.14 and 155,143,231,680.76 is: 232,714,847,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,143,231,680.76 : 232,714,847,521.14 = 155,143,231,680.76 : x
  2. Step 2: Convert to fraction form
    155,143,231,680.76/232,714,847,521.14 = 155,143,231,680.76/x
  3. Step 3: Cross multiply
    155,143,231,680.76x = 232,714,847,521.14 × 155,143,231,680.76
  4. Step 4: Simplify right side
    155,143,231,680.76x = 36,104,133,504,524,963,807,232
  5. Step 5: Solve for x
    x = 36,104,133,504,524,963,807,232/155,143,231,680.76
  6. Step 6: Final answer
    x = 232,714,847,521.14

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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.