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Finding the Fourth Proportional to 105,768,163.40, 158,652,245.10 and 105,768,163.40

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Solution

The fourth proportional to 105,768,163.40, 158,652,245.10 and 105,768,163.40 is: 158,652,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,768,163.40 : 158,652,245.10 = 105,768,163.40 : x
  2. Step 2: Convert to fraction form
    105,768,163.40/158,652,245.10 = 105,768,163.40/x
  3. Step 3: Cross multiply
    105,768,163.40x = 158,652,245.10 × 105,768,163.40
  4. Step 4: Simplify right side
    105,768,163.40x = 16,780,356,583,513,650
  5. Step 5: Solve for x
    x = 16,780,356,583,513,650/105,768,163.40
  6. Step 6: Final answer
    x = 158,652,245.10

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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.