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Finding the Fourth Proportional to 9,289,150,200.68, 13,933,725,301.01 and 9,289,150,200.68

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Solution

The fourth proportional to 9,289,150,200.68, 13,933,725,301.01 and 9,289,150,200.68 is: 13,933,725,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289,150,200.68 : 13,933,725,301.01 = 9,289,150,200.68 : x
  2. Step 2: Convert to fraction form
    9,289,150,200.68/13,933,725,301.01 = 9,289,150,200.68/x
  3. Step 3: Cross multiply
    9,289,150,200.68x = 13,933,725,301.01 × 9,289,150,200.68
  4. Step 4: Simplify right side
    9,289,150,200.68x = 129,432,467,176,045,920,256
  5. Step 5: Solve for x
    x = 129,432,467,176,045,920,256/9,289,150,200.68
  6. Step 6: Final answer
    x = 13,933,725,301.01

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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.