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Finding the Fourth Proportional to 1,022,575,365.60, 1,533,863,048.40 and 1,022,575,365.60

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Solution

The fourth proportional to 1,022,575,365.60, 1,533,863,048.40 and 1,022,575,365.60 is: 1,533,863,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,575,365.60 : 1,533,863,048.40 = 1,022,575,365.60 : x
  2. Step 2: Convert to fraction form
    1,022,575,365.60/1,533,863,048.40 = 1,022,575,365.60/x
  3. Step 3: Cross multiply
    1,022,575,365.60x = 1,533,863,048.40 × 1,022,575,365.60
  4. Step 4: Simplify right side
    1,022,575,365.60x = 1,568,490,567,497,960,704
  5. Step 5: Solve for x
    x = 1,568,490,567,497,960,704/1,022,575,365.60
  6. Step 6: Final answer
    x = 1,533,863,048.40

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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.