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Finding the Fourth Proportional to 189,195,999.40, 283,793,999.10 and 189,195,999.40

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Solution

The fourth proportional to 189,195,999.40, 283,793,999.10 and 189,195,999.40 is: 283,793,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,195,999.40 : 283,793,999.10 = 189,195,999.40 : x
  2. Step 2: Convert to fraction form
    189,195,999.40/283,793,999.10 = 189,195,999.40/x
  3. Step 3: Cross multiply
    189,195,999.40x = 283,793,999.10 × 189,195,999.40
  4. Step 4: Simplify right side
    189,195,999.40x = 53,692,689,283,447,208
  5. Step 5: Solve for x
    x = 53,692,689,283,447,208/189,195,999.40
  6. Step 6: Final answer
    x = 283,793,999.10

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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.