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Finding the Fourth Proportional to 646,988,906.80, 970,483,360.20 and 646,988,906.80

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Solution

The fourth proportional to 646,988,906.80, 970,483,360.20 and 646,988,906.80 is: 970,483,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,988,906.80 : 970,483,360.20 = 646,988,906.80 : x
  2. Step 2: Convert to fraction form
    646,988,906.80/970,483,360.20 = 646,988,906.80/x
  3. Step 3: Cross multiply
    646,988,906.80x = 970,483,360.20 × 646,988,906.80
  4. Step 4: Simplify right side
    646,988,906.80x = 627,891,968,283,388,672
  5. Step 5: Solve for x
    x = 627,891,968,283,388,672/646,988,906.80
  6. Step 6: Final answer
    x = 970,483,360.20

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Double scale
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Similar ratio
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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.