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Finding the Fourth Proportional to 106,873,404,564.30, 160,310,106,846.46 and 106,873,404,564.30

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Solution

The fourth proportional to 106,873,404,564.30, 160,310,106,846.46 and 106,873,404,564.30 is: 160,310,106,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,873,404,564.30 : 160,310,106,846.46 = 106,873,404,564.30 : x
  2. Step 2: Convert to fraction form
    106,873,404,564.30/160,310,106,846.46 = 106,873,404,564.30/x
  3. Step 3: Cross multiply
    106,873,404,564.30x = 160,310,106,846.46 × 106,873,404,564.30
  4. Step 4: Simplify right side
    106,873,404,564.30x = 17,132,886,904,747,879,038,976
  5. Step 5: Solve for x
    x = 17,132,886,904,747,879,038,976/106,873,404,564.30
  6. Step 6: Final answer
    x = 160,310,106,846.46

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1.5x scale

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.