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Finding the Fourth Proportional to 31,962,864,905.40, 44,821,477,271.40 and 31,962,864,905.40

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Solution

The fourth proportional to 31,962,864,905.40, 44,821,477,271.40 and 31,962,864,905.40 is: 44,821,477,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962,864,905.40 : 44,821,477,271.40 = 31,962,864,905.40 : x
  2. Step 2: Convert to fraction form
    31,962,864,905.40/44,821,477,271.40 = 31,962,864,905.40/x
  3. Step 3: Cross multiply
    31,962,864,905.40x = 44,821,477,271.40 × 31,962,864,905.40
  4. Step 4: Simplify right side
    31,962,864,905.40x = 1,432,622,822,886,214,991,872
  5. Step 5: Solve for x
    x = 1,432,622,822,886,214,991,872/31,962,864,905.40
  6. Step 6: Final answer
    x = 44,821,477,271.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.