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Finding the Fourth Proportional to 1,022,575,793.10, 1,533,863,689.65 and 1,022,575,793.10

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Solution

The fourth proportional to 1,022,575,793.10, 1,533,863,689.65 and 1,022,575,793.10 is: 1,533,863,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,575,793.10 : 1,533,863,689.65 = 1,022,575,793.10 : x
  2. Step 2: Convert to fraction form
    1,022,575,793.10/1,533,863,689.65 = 1,022,575,793.10/x
  3. Step 3: Cross multiply
    1,022,575,793.10x = 1,533,863,689.65 × 1,022,575,793.10
  4. Step 4: Simplify right side
    1,022,575,793.10x = 1,568,491,878,951,141,120
  5. Step 5: Solve for x
    x = 1,568,491,878,951,141,120/1,022,575,793.10
  6. Step 6: Final answer
    x = 1,533,863,689.65

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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.