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Finding the Fourth Proportional to 163,782,281,835.45, 245,673,422,753.17 and 163,782,281,835.45

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Solution

The fourth proportional to 163,782,281,835.45, 245,673,422,753.17 and 163,782,281,835.45 is: 245,673,422,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,782,281,835.45 : 245,673,422,753.17 = 163,782,281,835.45 : x
  2. Step 2: Convert to fraction form
    163,782,281,835.45/245,673,422,753.17 = 163,782,281,835.45/x
  3. Step 3: Cross multiply
    163,782,281,835.45x = 245,673,422,753.17 × 163,782,281,835.45
  4. Step 4: Simplify right side
    163,782,281,835.45x = 40,236,953,764,839,351,648,256
  5. Step 5: Solve for x
    x = 40,236,953,764,839,351,648,256/163,782,281,835.45
  6. Step 6: Final answer
    x = 245,673,422,753.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.