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Finding the Fourth Proportional to 562,868,363,016.20, 844,302,544,524.30 and 562,868,363,016.20

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Solution

The fourth proportional to 562,868,363,016.20, 844,302,544,524.30 and 562,868,363,016.20 is: 844,302,544,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,868,363,016.20 : 844,302,544,524.30 = 562,868,363,016.20 : x
  2. Step 2: Convert to fraction form
    562,868,363,016.20/844,302,544,524.30 = 562,868,363,016.20/x
  3. Step 3: Cross multiply
    562,868,363,016.20x = 844,302,544,524.30 × 562,868,363,016.20
  4. Step 4: Simplify right side
    562,868,363,016.20x = 475,231,191,126,805,047,148,544
  5. Step 5: Solve for x
    x = 475,231,191,126,805,047,148,544/562,868,363,016.20
  6. Step 6: Final answer
    x = 844,302,544,524.30

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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.