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Finding the Fourth Proportional to 122,835,365,280.76, 184,253,047,921.14 and 122,835,365,280.76

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Solution

The fourth proportional to 122,835,365,280.76, 184,253,047,921.14 and 122,835,365,280.76 is: 184,253,047,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,835,365,280.76 : 184,253,047,921.14 = 122,835,365,280.76 : x
  2. Step 2: Convert to fraction form
    122,835,365,280.76/184,253,047,921.14 = 122,835,365,280.76/x
  3. Step 3: Cross multiply
    122,835,365,280.76x = 184,253,047,921.14 × 122,835,365,280.76
  4. Step 4: Simplify right side
    122,835,365,280.76x = 22,632,790,445,486,608,744,448
  5. Step 5: Solve for x
    x = 22,632,790,445,486,608,744,448/122,835,365,280.76
  6. Step 6: Final answer
    x = 184,253,047,921.14

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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.