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Finding the Fourth Proportional to 838,260,522,023.35, 1,257,390,783,035 and 838,260,522,023.35

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Solution

The fourth proportional to 838,260,522,023.35, 1,257,390,783,035 and 838,260,522,023.35 is: 1,257,390,783,035

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,260,522,023.35 : 1,257,390,783,035 = 838,260,522,023.35 : x
  2. Step 2: Convert to fraction form
    838,260,522,023.35/1,257,390,783,035 = 838,260,522,023.35/x
  3. Step 3: Cross multiply
    838,260,522,023.35x = 1,257,390,783,035 × 838,260,522,023.35
  4. Step 4: Simplify right side
    838,260,522,023.35x = 1,054,021,054,174,267,831,222,272
  5. Step 5: Solve for x
    x = 1,054,021,054,174,267,831,222,272/838,260,522,023.35
  6. Step 6: Final answer
    x = 1,257,390,783,035

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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.