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Finding the Fourth Proportional to 155,143,231,696.51, 232,714,847,544.77 and 155,143,231,696.51

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Solution

The fourth proportional to 155,143,231,696.51, 232,714,847,544.77 and 155,143,231,696.51 is: 232,714,847,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,143,231,696.51 : 232,714,847,544.77 = 155,143,231,696.51 : x
  2. Step 2: Convert to fraction form
    155,143,231,696.51/232,714,847,544.77 = 155,143,231,696.51/x
  3. Step 3: Cross multiply
    155,143,231,696.51x = 232,714,847,544.77 × 155,143,231,696.51
  4. Step 4: Simplify right side
    155,143,231,696.51x = 36,104,133,511,856,254,877,696
  5. Step 5: Solve for x
    x = 36,104,133,511,856,254,877,696/155,143,231,696.51
  6. Step 6: Final answer
    x = 232,714,847,544.77

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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.