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Finding the Fourth Proportional to 431,557,632,395.40, 646,465,735,658.70 and 431,557,632,395.40

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Solution

The fourth proportional to 431,557,632,395.40, 646,465,735,658.70 and 431,557,632,395.40 is: 646,465,735,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,557,632,395.40 : 646,465,735,658.70 = 431,557,632,395.40 : x
  2. Step 2: Convert to fraction form
    431,557,632,395.40/646,465,735,658.70 = 431,557,632,395.40/x
  3. Step 3: Cross multiply
    431,557,632,395.40x = 646,465,735,658.70 × 431,557,632,395.40
  4. Step 4: Simplify right side
    431,557,632,395.40x = 278,987,222,305,619,094,536,192
  5. Step 5: Solve for x
    x = 278,987,222,305,619,094,536,192/431,557,632,395.40
  6. Step 6: Final answer
    x = 646,465,735,658.70

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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.