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Finding the Fourth Proportional to 140,256,000.30, 210,384,000.45 and 140,256,000.30

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Solution

The fourth proportional to 140,256,000.30, 210,384,000.45 and 140,256,000.30 is: 210,384,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,256,000.30 : 210,384,000.45 = 140,256,000.30 : x
  2. Step 2: Convert to fraction form
    140,256,000.30/210,384,000.45 = 140,256,000.30/x
  3. Step 3: Cross multiply
    140,256,000.30x = 210,384,000.45 × 140,256,000.30
  4. Step 4: Simplify right side
    140,256,000.30x = 29,507,618,430,230,400
  5. Step 5: Solve for x
    x = 29,507,618,430,230,400/140,256,000.30
  6. Step 6: Final answer
    x = 210,384,000.45

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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.