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Finding the Fourth Proportional to 8,275,424,320.80, 11,614,617,813.60 and 8,275,424,320.80

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Solution

The fourth proportional to 8,275,424,320.80, 11,614,617,813.60 and 8,275,424,320.80 is: 11,614,617,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275,424,320.80 : 11,614,617,813.60 = 8,275,424,320.80 : x
  2. Step 2: Convert to fraction form
    8,275,424,320.80/11,614,617,813.60 = 8,275,424,320.80/x
  3. Step 3: Cross multiply
    8,275,424,320.80x = 11,614,617,813.60 × 8,275,424,320.80
  4. Step 4: Simplify right side
    8,275,424,320.80x = 96,115,890,731,462,361,088
  5. Step 5: Solve for x
    x = 96,115,890,731,462,361,088/8,275,424,320.80
  6. Step 6: Final answer
    x = 11,614,617,813.60

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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.