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Finding the Fourth Proportional to 262,177,803,003.60, 393,266,704,505.40 and 262,177,803,003.60

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Solution

The fourth proportional to 262,177,803,003.60, 393,266,704,505.40 and 262,177,803,003.60 is: 393,266,704,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,177,803,003.60 : 393,266,704,505.40 = 262,177,803,003.60 : x
  2. Step 2: Convert to fraction form
    262,177,803,003.60/393,266,704,505.40 = 262,177,803,003.60/x
  3. Step 3: Cross multiply
    262,177,803,003.60x = 393,266,704,505.40 × 262,177,803,003.60
  4. Step 4: Simplify right side
    262,177,803,003.60x = 103,105,800,581,691,736,064,000
  5. Step 5: Solve for x
    x = 103,105,800,581,691,736,064,000/262,177,803,003.60
  6. Step 6: Final answer
    x = 393,266,704,505.40

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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.