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Finding the Fourth Proportional to 446,223,072,003.80, 669,334,608,005.70 and 446,223,072,003.80

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Solution

The fourth proportional to 446,223,072,003.80, 669,334,608,005.70 and 446,223,072,003.80 is: 669,334,608,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,223,072,003.80 : 669,334,608,005.70 = 446,223,072,003.80 : x
  2. Step 2: Convert to fraction form
    446,223,072,003.80/669,334,608,005.70 = 446,223,072,003.80/x
  3. Step 3: Cross multiply
    446,223,072,003.80x = 669,334,608,005.70 × 446,223,072,003.80
  4. Step 4: Simplify right side
    446,223,072,003.80x = 298,672,544,982,762,696,736,768
  5. Step 5: Solve for x
    x = 298,672,544,982,762,696,736,768/446,223,072,003.80
  6. Step 6: Final answer
    x = 669,334,608,005.70

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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.