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Finding the Fourth Proportional to 275,594,103,420.02, 413,391,155,130.06 and 275,594,103,420.02

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Solution

The fourth proportional to 275,594,103,420.02, 413,391,155,130.06 and 275,594,103,420.02 is: 413,391,155,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,594,103,420.02 : 413,391,155,130.06 = 275,594,103,420.02 : x
  2. Step 2: Convert to fraction form
    275,594,103,420.02/413,391,155,130.06 = 275,594,103,420.02/x
  3. Step 3: Cross multiply
    275,594,103,420.02x = 413,391,155,130.06 × 275,594,103,420.02
  4. Step 4: Simplify right side
    275,594,103,420.02x = 113,928,164,759,835,292,729,344
  5. Step 5: Solve for x
    x = 113,928,164,759,835,292,729,344/275,594,103,420.02
  6. Step 6: Final answer
    x = 413,391,155,130.06

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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.