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Finding the Fourth Proportional to 940,142,489.60, 1,317,559,974.40 and 940,142,489.60

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Solution

The fourth proportional to 940,142,489.60, 1,317,559,974.40 and 940,142,489.60 is: 1,317,559,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,142,489.60 : 1,317,559,974.40 = 940,142,489.60 : x
  2. Step 2: Convert to fraction form
    940,142,489.60/1,317,559,974.40 = 940,142,489.60/x
  3. Step 3: Cross multiply
    940,142,489.60x = 1,317,559,974.40 × 940,142,489.60
  4. Step 4: Simplify right side
    940,142,489.60x = 1,238,694,114,529,728,512
  5. Step 5: Solve for x
    x = 1,238,694,114,529,728,512/940,142,489.60
  6. Step 6: Final answer
    x = 1,317,559,974.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.