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Finding the Fourth Proportional to 116,135,963,205.60, 174,203,944,808.40 and 116,135,963,205.60

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Solution

The fourth proportional to 116,135,963,205.60, 174,203,944,808.40 and 116,135,963,205.60 is: 174,203,944,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,135,963,205.60 : 174,203,944,808.40 = 116,135,963,205.60 : x
  2. Step 2: Convert to fraction form
    116,135,963,205.60/174,203,944,808.40 = 116,135,963,205.60/x
  3. Step 3: Cross multiply
    116,135,963,205.60x = 174,203,944,808.40 × 116,135,963,205.60
  4. Step 4: Simplify right side
    116,135,963,205.60x = 20,231,342,924,538,717,405,184
  5. Step 5: Solve for x
    x = 20,231,342,924,538,717,405,184/116,135,963,205.60
  6. Step 6: Final answer
    x = 174,203,944,808.40

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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.