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Finding the Fourth Proportional to 165,510,408,095.40, 248,265,612,143.10 and 165,510,408,095.40

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Solution

The fourth proportional to 165,510,408,095.40, 248,265,612,143.10 and 165,510,408,095.40 is: 248,265,612,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,510,408,095.40 : 248,265,612,143.10 = 165,510,408,095.40 : x
  2. Step 2: Convert to fraction form
    165,510,408,095.40/248,265,612,143.10 = 165,510,408,095.40/x
  3. Step 3: Cross multiply
    165,510,408,095.40x = 248,265,612,143.10 × 165,510,408,095.40
  4. Step 4: Simplify right side
    165,510,408,095.40x = 41,090,542,781,858,773,467,136
  5. Step 5: Solve for x
    x = 41,090,542,781,858,773,467,136/165,510,408,095.40
  6. Step 6: Final answer
    x = 248,265,612,143.10

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1.5x scale

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.