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Finding the Fourth Proportional to 205,867,293,452.10, 308,800,940,178.15 and 205,867,293,452.10

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Solution

The fourth proportional to 205,867,293,452.10, 308,800,940,178.15 and 205,867,293,452.10 is: 308,800,940,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,867,293,452.10 : 308,800,940,178.15 = 205,867,293,452.10 : x
  2. Step 2: Convert to fraction form
    205,867,293,452.10/308,800,940,178.15 = 205,867,293,452.10/x
  3. Step 3: Cross multiply
    205,867,293,452.10x = 308,800,940,178.15 × 205,867,293,452.10
  4. Step 4: Simplify right side
    205,867,293,452.10x = 63,572,013,769,939,587,432,448
  5. Step 5: Solve for x
    x = 63,572,013,769,939,587,432,448/205,867,293,452.10
  6. Step 6: Final answer
    x = 308,800,940,178.15

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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.