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Finding the Fourth Proportional to 146,718,081,804.60, 220,077,122,706.90 and 146,718,081,804.60

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Solution

The fourth proportional to 146,718,081,804.60, 220,077,122,706.90 and 146,718,081,804.60 is: 220,077,122,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,718,081,804.60 : 220,077,122,706.90 = 146,718,081,804.60 : x
  2. Step 2: Convert to fraction form
    146,718,081,804.60/220,077,122,706.90 = 146,718,081,804.60/x
  3. Step 3: Cross multiply
    146,718,081,804.60x = 220,077,122,706.90 × 146,718,081,804.60
  4. Step 4: Simplify right side
    146,718,081,804.60x = 32,289,293,292,631,945,641,984
  5. Step 5: Solve for x
    x = 32,289,293,292,631,945,641,984/146,718,081,804.60
  6. Step 6: Final answer
    x = 220,077,122,706.90

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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.