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Finding the Fourth Proportional to 97,056,179,464.60, 145,584,269,196.90 and 97,056,179,464.60

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Solution

The fourth proportional to 97,056,179,464.60, 145,584,269,196.90 and 97,056,179,464.60 is: 145,584,269,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,056,179,464.60 : 145,584,269,196.90 = 97,056,179,464.60 : x
  2. Step 2: Convert to fraction form
    97,056,179,464.60/145,584,269,196.90 = 97,056,179,464.60/x
  3. Step 3: Cross multiply
    97,056,179,464.60x = 145,584,269,196.90 × 97,056,179,464.60
  4. Step 4: Simplify right side
    97,056,179,464.60x = 14,129,852,958,396,964,143,104
  5. Step 5: Solve for x
    x = 14,129,852,958,396,964,143,104/97,056,179,464.60
  6. Step 6: Final answer
    x = 145,584,269,196.90

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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.