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Finding the Fourth Proportional to 307,789,632,000.20, 461,684,448,000.30 and 307,789,632,000.20

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Solution

The fourth proportional to 307,789,632,000.20, 461,684,448,000.30 and 307,789,632,000.20 is: 461,684,448,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,632,000.20 : 461,684,448,000.30 = 307,789,632,000.20 : x
  2. Step 2: Convert to fraction form
    307,789,632,000.20/461,684,448,000.30 = 307,789,632,000.20/x
  3. Step 3: Cross multiply
    307,789,632,000.20x = 461,684,448,000.30 × 307,789,632,000.20
  4. Step 4: Simplify right side
    307,789,632,000.20x = 142,101,686,350,227,804,520,448
  5. Step 5: Solve for x
    x = 142,101,686,350,227,804,520,448/307,789,632,000.20
  6. Step 6: Final answer
    x = 461,684,448,000.30

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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.