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Finding the Fourth Proportional to 123,768,684,016.60, 185,653,026,024.90 and 123,768,684,016.60

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Solution

The fourth proportional to 123,768,684,016.60, 185,653,026,024.90 and 123,768,684,016.60 is: 185,653,026,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,768,684,016.60 : 185,653,026,024.90 = 123,768,684,016.60 : x
  2. Step 2: Convert to fraction form
    123,768,684,016.60/185,653,026,024.90 = 123,768,684,016.60/x
  3. Step 3: Cross multiply
    123,768,684,016.60x = 185,653,026,024.90 × 123,768,684,016.60
  4. Step 4: Simplify right side
    123,768,684,016.60x = 22,978,030,714,801,465,851,904
  5. Step 5: Solve for x
    x = 22,978,030,714,801,465,851,904/123,768,684,016.60
  6. Step 6: Final answer
    x = 185,653,026,024.90

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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.