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Finding the Fourth Proportional to 14,183,424,014.40, 21,275,136,021.60 and 14,183,424,014.40

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Solution

The fourth proportional to 14,183,424,014.40, 21,275,136,021.60 and 14,183,424,014.40 is: 21,275,136,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183,424,014.40 : 21,275,136,021.60 = 14,183,424,014.40 : x
  2. Step 2: Convert to fraction form
    14,183,424,014.40/21,275,136,021.60 = 14,183,424,014.40/x
  3. Step 3: Cross multiply
    14,183,424,014.40x = 21,275,136,021.60 × 14,183,424,014.40
  4. Step 4: Simplify right side
    14,183,424,014.40x = 301,754,275,158,387,916,800
  5. Step 5: Solve for x
    x = 301,754,275,158,387,916,800/14,183,424,014.40
  6. Step 6: Final answer
    x = 21,275,136,021.60

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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.