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Finding the Fourth Proportional to 360,697,740,400.02, 541,046,610,600.06 and 360,697,740,400.02

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Solution

The fourth proportional to 360,697,740,400.02, 541,046,610,600.06 and 360,697,740,400.02 is: 541,046,610,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,697,740,400.02 : 541,046,610,600.06 = 360,697,740,400.02 : x
  2. Step 2: Convert to fraction form
    360,697,740,400.02/541,046,610,600.06 = 360,697,740,400.02/x
  3. Step 3: Cross multiply
    360,697,740,400.02x = 541,046,610,600.06 × 360,697,740,400.02
  4. Step 4: Simplify right side
    360,697,740,400.02x = 195,154,289,894,531,157,458,944
  5. Step 5: Solve for x
    x = 195,154,289,894,531,157,458,944/360,697,740,400.02
  6. Step 6: Final answer
    x = 541,046,610,600.06

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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.