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Finding the Fourth Proportional to 189,216,000.30, 283,824,000.45 and 189,216,000.30

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Solution

The fourth proportional to 189,216,000.30, 283,824,000.45 and 189,216,000.30 is: 283,824,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216,000.30 : 283,824,000.45 = 189,216,000.30 : x
  2. Step 2: Convert to fraction form
    189,216,000.30/283,824,000.45 = 189,216,000.30/x
  3. Step 3: Cross multiply
    189,216,000.30x = 283,824,000.45 × 189,216,000.30
  4. Step 4: Simplify right side
    189,216,000.30x = 53,704,042,154,294,400
  5. Step 5: Solve for x
    x = 53,704,042,154,294,400/189,216,000.30
  6. Step 6: Final answer
    x = 283,824,000.45

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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.