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Finding the Fourth Proportional to 155,157,530,250.06, 232,736,295,375.07 and 155,157,530,250.06

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Solution

The fourth proportional to 155,157,530,250.06, 232,736,295,375.07 and 155,157,530,250.06 is: 232,736,295,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,530,250.06 : 232,736,295,375.07 = 155,157,530,250.06 : x
  2. Step 2: Convert to fraction form
    155,157,530,250.06/232,736,295,375.07 = 155,157,530,250.06/x
  3. Step 3: Cross multiply
    155,157,530,250.06x = 232,736,295,375.07 × 155,157,530,250.06
  4. Step 4: Simplify right side
    155,157,530,250.06x = 36,110,788,789,944,323,145,728
  5. Step 5: Solve for x
    x = 36,110,788,789,944,323,145,728/155,157,530,250.06
  6. Step 6: Final answer
    x = 232,736,295,375.07

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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.