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Finding the Fourth Proportional to 68,024,601,097.60, 101,853,235,636.80 and 68,024,601,097.60

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Solution

The fourth proportional to 68,024,601,097.60, 101,853,235,636.80 and 68,024,601,097.60 is: 101,853,235,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024,601,097.60 : 101,853,235,636.80 = 68,024,601,097.60 : x
  2. Step 2: Convert to fraction form
    68,024,601,097.60/101,853,235,636.80 = 68,024,601,097.60/x
  3. Step 3: Cross multiply
    68,024,601,097.60x = 101,853,235,636.80 × 68,024,601,097.60
  4. Step 4: Simplify right side
    68,024,601,097.60x = 6,928,525,724,693,176,516,608
  5. Step 5: Solve for x
    x = 6,928,525,724,693,176,516,608/68,024,601,097.60
  6. Step 6: Final answer
    x = 101,853,235,636.80

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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.