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Finding the Fourth Proportional to 307,789,632,011.70, 461,684,448,017.55 and 307,789,632,011.70

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Solution

The fourth proportional to 307,789,632,011.70, 461,684,448,017.55 and 307,789,632,011.70 is: 461,684,448,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,789,632,011.70 : 461,684,448,017.55 = 307,789,632,011.70 : x
  2. Step 2: Convert to fraction form
    307,789,632,011.70/461,684,448,017.55 = 307,789,632,011.70/x
  3. Step 3: Cross multiply
    307,789,632,011.70x = 461,684,448,017.55 × 307,789,632,011.70
  4. Step 4: Simplify right side
    307,789,632,011.70x = 142,101,686,360,846,557,511,680
  5. Step 5: Solve for x
    x = 142,101,686,360,846,557,511,680/307,789,632,011.70
  6. Step 6: Final answer
    x = 461,684,448,017.55

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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.