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Finding the Fourth Proportional to 155,157,530,014.78, 232,736,295,022.17 and 155,157,530,014.78

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Solution

The fourth proportional to 155,157,530,014.78, 232,736,295,022.17 and 155,157,530,014.78 is: 232,736,295,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,530,014.78 : 232,736,295,022.17 = 155,157,530,014.78 : x
  2. Step 2: Convert to fraction form
    155,157,530,014.78/232,736,295,022.17 = 155,157,530,014.78/x
  3. Step 3: Cross multiply
    155,157,530,014.78x = 232,736,295,022.17 × 155,157,530,014.78
  4. Step 4: Simplify right side
    155,157,530,014.78x = 36,110,788,680,431,037,317,120
  5. Step 5: Solve for x
    x = 36,110,788,680,431,037,317,120/155,157,530,014.78
  6. Step 6: Final answer
    x = 232,736,295,022.17

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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.