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Finding the Fourth Proportional to 970,647,697.80, 1,455,971,546.70 and 970,647,697.80

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Solution

The fourth proportional to 970,647,697.80, 1,455,971,546.70 and 970,647,697.80 is: 1,455,971,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,647,697.80 : 1,455,971,546.70 = 970,647,697.80 : x
  2. Step 2: Convert to fraction form
    970,647,697.80/1,455,971,546.70 = 970,647,697.80/x
  3. Step 3: Cross multiply
    970,647,697.80x = 1,455,971,546.70 × 970,647,697.80
  4. Step 4: Simplify right side
    970,647,697.80x = 1,413,235,429,866,660,096
  5. Step 5: Solve for x
    x = 1,413,235,429,866,660,096/970,647,697.80
  6. Step 6: Final answer
    x = 1,455,971,546.70

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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.