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Finding the Fourth Proportional to 325,841,702,443.20, 488,762,553,664.80 and 325,841,702,443.20

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Solution

The fourth proportional to 325,841,702,443.20, 488,762,553,664.80 and 325,841,702,443.20 is: 488,762,553,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,841,702,443.20 : 488,762,553,664.80 = 325,841,702,443.20 : x
  2. Step 2: Convert to fraction form
    325,841,702,443.20/488,762,553,664.80 = 325,841,702,443.20/x
  3. Step 3: Cross multiply
    325,841,702,443.20x = 488,762,553,664.80 × 325,841,702,443.20
  4. Step 4: Simplify right side
    325,841,702,443.20x = 159,259,222,576,624,329,293,824
  5. Step 5: Solve for x
    x = 159,259,222,576,624,329,293,824/325,841,702,443.20
  6. Step 6: Final answer
    x = 488,762,553,664.80

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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.