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Finding the Fourth Proportional to 393,984,806.40, 590,977,209.60 and 393,984,806.40

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Solution

The fourth proportional to 393,984,806.40, 590,977,209.60 and 393,984,806.40 is: 590,977,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,984,806.40 : 590,977,209.60 = 393,984,806.40 : x
  2. Step 2: Convert to fraction form
    393,984,806.40/590,977,209.60 = 393,984,806.40/x
  3. Step 3: Cross multiply
    393,984,806.40x = 590,977,209.60 × 393,984,806.40
  4. Step 4: Simplify right side
    393,984,806.40x = 232,836,041,511,068,224
  5. Step 5: Solve for x
    x = 232,836,041,511,068,224/393,984,806.40
  6. Step 6: Final answer
    x = 590,977,209.60

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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.