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Finding the Fourth Proportional to 10,762,446,997.60, 16,143,670,496.40 and 10,762,446,997.60

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Solution

The fourth proportional to 10,762,446,997.60, 16,143,670,496.40 and 10,762,446,997.60 is: 16,143,670,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762,446,997.60 : 16,143,670,496.40 = 10,762,446,997.60 : x
  2. Step 2: Convert to fraction form
    10,762,446,997.60/16,143,670,496.40 = 10,762,446,997.60/x
  3. Step 3: Cross multiply
    10,762,446,997.60x = 16,143,670,496.40 × 10,762,446,997.60
  4. Step 4: Simplify right side
    10,762,446,997.60x = 173,745,398,064,223,879,168
  5. Step 5: Solve for x
    x = 173,745,398,064,223,879,168/10,762,446,997.60
  6. Step 6: Final answer
    x = 16,143,670,496.40

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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.