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Finding the Fourth Proportional to 155,157,530,100.06, 232,736,295,150.09 and 155,157,530,100.06

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Solution

The fourth proportional to 155,157,530,100.06, 232,736,295,150.09 and 155,157,530,100.06 is: 232,736,295,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,530,100.06 : 232,736,295,150.09 = 155,157,530,100.06 : x
  2. Step 2: Convert to fraction form
    155,157,530,100.06/232,736,295,150.09 = 155,157,530,100.06/x
  3. Step 3: Cross multiply
    155,157,530,100.06x = 232,736,295,150.09 × 155,157,530,100.06
  4. Step 4: Simplify right side
    155,157,530,100.06x = 36,110,788,720,126,534,352,896
  5. Step 5: Solve for x
    x = 36,110,788,720,126,534,352,896/155,157,530,100.06
  6. Step 6: Final answer
    x = 232,736,295,150.09

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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.