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Finding the Fourth Proportional to 735,594,048,002.70, 1,103,391,072,004 and 735,594,048,002.70

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Solution

The fourth proportional to 735,594,048,002.70, 1,103,391,072,004 and 735,594,048,002.70 is: 1,103,391,072,004

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,594,048,002.70 : 1,103,391,072,004 = 735,594,048,002.70 : x
  2. Step 2: Convert to fraction form
    735,594,048,002.70/1,103,391,072,004 = 735,594,048,002.70/x
  3. Step 3: Cross multiply
    735,594,048,002.70x = 1,103,391,072,004 × 735,594,048,002.70
  4. Step 4: Simplify right side
    735,594,048,002.70x = 811,647,905,185,460,910,030,848
  5. Step 5: Solve for x
    x = 811,647,905,185,460,910,030,848/735,594,048,002.70
  6. Step 6: Final answer
    x = 1,103,391,072,004

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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.