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Finding the Fourth Proportional to 128,120,869,200.23, 192,181,303,800.33 and 128,120,869,200.23

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Solution

The fourth proportional to 128,120,869,200.23, 192,181,303,800.33 and 128,120,869,200.23 is: 192,181,303,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,120,869,200.23 : 192,181,303,800.33 = 128,120,869,200.23 : x
  2. Step 2: Convert to fraction form
    128,120,869,200.23/192,181,303,800.33 = 128,120,869,200.23/x
  3. Step 3: Cross multiply
    128,120,869,200.23x = 192,181,303,800.33 × 128,120,869,200.23
  4. Step 4: Simplify right side
    128,120,869,200.23x = 24,622,435,686,931,742,326,784
  5. Step 5: Solve for x
    x = 24,622,435,686,931,742,326,784/128,120,869,200.23
  6. Step 6: Final answer
    x = 192,181,303,800.33

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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.