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Finding the Fourth Proportional to 128,727,562,298.40, 193,091,343,447.60 and 128,727,562,298.40

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Solution

The fourth proportional to 128,727,562,298.40, 193,091,343,447.60 and 128,727,562,298.40 is: 193,091,343,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,727,562,298.40 : 193,091,343,447.60 = 128,727,562,298.40 : x
  2. Step 2: Convert to fraction form
    128,727,562,298.40/193,091,343,447.60 = 128,727,562,298.40/x
  3. Step 3: Cross multiply
    128,727,562,298.40x = 193,091,343,447.60 × 128,727,562,298.40
  4. Step 4: Simplify right side
    128,727,562,298.40x = 24,856,177,942,932,679,032,832
  5. Step 5: Solve for x
    x = 24,856,177,942,932,679,032,832/128,727,562,298.40
  6. Step 6: Final answer
    x = 193,091,343,447.60

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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.