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Finding the Fourth Proportional to 102,152,097,000.45, 153,228,145,500.67 and 102,152,097,000.45

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Solution

The fourth proportional to 102,152,097,000.45, 153,228,145,500.67 and 102,152,097,000.45 is: 153,228,145,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,152,097,000.45 : 153,228,145,500.67 = 102,152,097,000.45 : x
  2. Step 2: Convert to fraction form
    102,152,097,000.45/153,228,145,500.67 = 102,152,097,000.45/x
  3. Step 3: Cross multiply
    102,152,097,000.45x = 153,228,145,500.67 × 102,152,097,000.45
  4. Step 4: Simplify right side
    102,152,097,000.45x = 15,652,576,382,383,508,422,656
  5. Step 5: Solve for x
    x = 15,652,576,382,383,508,422,656/102,152,097,000.45
  6. Step 6: Final answer
    x = 153,228,145,500.67

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1.5x scale

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.