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Finding the Fourth Proportional to 165,057,842,023.55, 247,586,763,035.32 and 165,057,842,023.55

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Solution

The fourth proportional to 165,057,842,023.55, 247,586,763,035.32 and 165,057,842,023.55 is: 247,586,763,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057,842,023.55 : 247,586,763,035.32 = 165,057,842,023.55 : x
  2. Step 2: Convert to fraction form
    165,057,842,023.55/247,586,763,035.32 = 165,057,842,023.55/x
  3. Step 3: Cross multiply
    165,057,842,023.55x = 247,586,763,035.32 × 165,057,842,023.55
  4. Step 4: Simplify right side
    165,057,842,023.55x = 40,866,136,820,205,957,939,200
  5. Step 5: Solve for x
    x = 40,866,136,820,205,957,939,200/165,057,842,023.55
  6. Step 6: Final answer
    x = 247,586,763,035.32

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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.