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Finding the Fourth Proportional to 368,510,097,819.20, 552,765,146,728.80 and 368,510,097,819.20

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Solution

The fourth proportional to 368,510,097,819.20, 552,765,146,728.80 and 368,510,097,819.20 is: 552,765,146,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,510,097,819.20 : 552,765,146,728.80 = 368,510,097,819.20 : x
  2. Step 2: Convert to fraction form
    368,510,097,819.20/552,765,146,728.80 = 368,510,097,819.20/x
  3. Step 3: Cross multiply
    368,510,097,819.20x = 552,765,146,728.80 × 368,510,097,819.20
  4. Step 4: Simplify right side
    368,510,097,819.20x = 203,699,538,292,074,551,967,744
  5. Step 5: Solve for x
    x = 203,699,538,292,074,551,967,744/368,510,097,819.20
  6. Step 6: Final answer
    x = 552,765,146,728.80

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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.