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Finding the Fourth Proportional to 882,837,619.20, 1,324,256,428.80 and 882,837,619.20

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Solution

The fourth proportional to 882,837,619.20, 1,324,256,428.80 and 882,837,619.20 is: 1,324,256,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,837,619.20 : 1,324,256,428.80 = 882,837,619.20 : x
  2. Step 2: Convert to fraction form
    882,837,619.20/1,324,256,428.80 = 882,837,619.20/x
  3. Step 3: Cross multiply
    882,837,619.20x = 1,324,256,428.80 × 882,837,619.20
  4. Step 4: Simplify right side
    882,837,619.20x = 1,169,103,392,812,086,272
  5. Step 5: Solve for x
    x = 1,169,103,392,812,086,272/882,837,619.20
  6. Step 6: Final answer
    x = 1,324,256,428.80

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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.