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Finding the Fourth Proportional to 3,982,104,005.60, 5,564,614,394.80 and 3,982,104,005.60

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Solution

The fourth proportional to 3,982,104,005.60, 5,564,614,394.80 and 3,982,104,005.60 is: 5,564,614,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982,104,005.60 : 5,564,614,394.80 = 3,982,104,005.60 : x
  2. Step 2: Convert to fraction form
    3,982,104,005.60/5,564,614,394.80 = 3,982,104,005.60/x
  3. Step 3: Cross multiply
    3,982,104,005.60x = 5,564,614,394.80 × 3,982,104,005.60
  4. Step 4: Simplify right side
    3,982,104,005.60x = 22,158,873,271,152,500,736
  5. Step 5: Solve for x
    x = 22,158,873,271,152,500,736/3,982,104,005.60
  6. Step 6: Final answer
    x = 5,564,614,394.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.