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Finding the Fourth Proportional to 89,047,493,999.85, 133,571,240,999.78 and 89,047,493,999.85

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Solution

The fourth proportional to 89,047,493,999.85, 133,571,240,999.78 and 89,047,493,999.85 is: 133,571,240,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,047,493,999.85 : 133,571,240,999.78 = 89,047,493,999.85 : x
  2. Step 2: Convert to fraction form
    89,047,493,999.85/133,571,240,999.78 = 89,047,493,999.85/x
  3. Step 3: Cross multiply
    89,047,493,999.85x = 133,571,240,999.78 × 89,047,493,999.85
  4. Step 4: Simplify right side
    89,047,493,999.85x = 11,894,184,281,480,429,043,712
  5. Step 5: Solve for x
    x = 11,894,184,281,480,429,043,712/89,047,493,999.85
  6. Step 6: Final answer
    x = 133,571,240,999.78

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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.