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Finding the Fourth Proportional to 533,382,830.40, 800,074,245.60 and 314,808,801.60

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Solution

The fourth proportional to 533,382,830.40, 800,074,245.60 and 314,808,801.60 is: 472,213,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,382,830.40 : 800,074,245.60 = 314,808,801.60 : x
  2. Step 2: Convert to fraction form
    533,382,830.40/800,074,245.60 = 314,808,801.60/x
  3. Step 3: Cross multiply
    533,382,830.40x = 800,074,245.60 × 314,808,801.60
  4. Step 4: Simplify right side
    533,382,830.40x = 251,870,414,448,360,096
  5. Step 5: Solve for x
    x = 251,870,414,448,360,096/533,382,830.40
  6. Step 6: Final answer
    x = 472,213,202.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.