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Finding the Fourth Proportional to 20,112,138,194.40, 30,168,207,291.60 and 20,112,138,194.40

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Solution

The fourth proportional to 20,112,138,194.40, 30,168,207,291.60 and 20,112,138,194.40 is: 30,168,207,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112,138,194.40 : 30,168,207,291.60 = 20,112,138,194.40 : x
  2. Step 2: Convert to fraction form
    20,112,138,194.40/30,168,207,291.60 = 20,112,138,194.40/x
  3. Step 3: Cross multiply
    20,112,138,194.40x = 30,168,207,291.60 × 20,112,138,194.40
  4. Step 4: Simplify right side
    20,112,138,194.40x = 606,747,154,125,964,967,936
  5. Step 5: Solve for x
    x = 606,747,154,125,964,967,936/20,112,138,194.40
  6. Step 6: Final answer
    x = 30,168,207,291.60

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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.