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Finding the Fourth Proportional to 111,555,792,078.45, 167,333,688,117.67 and 111,555,792,078.45

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Solution

The fourth proportional to 111,555,792,078.45, 167,333,688,117.67 and 111,555,792,078.45 is: 167,333,688,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,555,792,078.45 : 167,333,688,117.67 = 111,555,792,078.45 : x
  2. Step 2: Convert to fraction form
    111,555,792,078.45/167,333,688,117.67 = 111,555,792,078.45/x
  3. Step 3: Cross multiply
    111,555,792,078.45x = 167,333,688,117.67 × 111,555,792,078.45
  4. Step 4: Simplify right side
    111,555,792,078.45x = 18,667,042,119,374,994,407,424
  5. Step 5: Solve for x
    x = 18,667,042,119,374,994,407,424/111,555,792,078.45
  6. Step 6: Final answer
    x = 167,333,688,117.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.