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Finding the Fourth Proportional to 73,138,368,843.60, 109,707,553,265.40 and 73,138,368,843.60

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Solution

The fourth proportional to 73,138,368,843.60, 109,707,553,265.40 and 73,138,368,843.60 is: 109,707,553,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138,368,843.60 : 109,707,553,265.40 = 73,138,368,843.60 : x
  2. Step 2: Convert to fraction form
    73,138,368,843.60/109,707,553,265.40 = 73,138,368,843.60/x
  3. Step 3: Cross multiply
    73,138,368,843.60x = 109,707,553,265.40 × 73,138,368,843.60
  4. Step 4: Simplify right side
    73,138,368,843.60x = 8,023,831,495,653,719,015,424
  5. Step 5: Solve for x
    x = 8,023,831,495,653,719,015,424/73,138,368,843.60
  6. Step 6: Final answer
    x = 109,707,553,265.40

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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.