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Finding the Fourth Proportional to 20,178,064,368.45, 30,267,096,552.68 and 20,178,064,368.45

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Solution

The fourth proportional to 20,178,064,368.45, 30,267,096,552.68 and 20,178,064,368.45 is: 30,267,096,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178,064,368.45 : 30,267,096,552.68 = 20,178,064,368.45 : x
  2. Step 2: Convert to fraction form
    20,178,064,368.45/30,267,096,552.68 = 20,178,064,368.45/x
  3. Step 3: Cross multiply
    20,178,064,368.45x = 30,267,096,552.68 × 20,178,064,368.45
  4. Step 4: Simplify right side
    20,178,064,368.45x = 610,731,422,485,967,273,984
  5. Step 5: Solve for x
    x = 610,731,422,485,967,273,984/20,178,064,368.45
  6. Step 6: Final answer
    x = 30,267,096,552.68

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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.