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Finding the Fourth Proportional to 16,133,769.60, 24,200,654.40 and 16,133,769.60

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Solution

The fourth proportional to 16,133,769.60, 24,200,654.40 and 16,133,769.60 is: 24,200,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133,769.60 : 24,200,654.40 = 16,133,769.60 : x
  2. Step 2: Convert to fraction form
    16,133,769.60/24,200,654.40 = 16,133,769.60/x
  3. Step 3: Cross multiply
    16,133,769.60x = 24,200,654.40 × 16,133,769.60
  4. Step 4: Simplify right side
    16,133,769.60x = 390,447,782,258,826.19
  5. Step 5: Solve for x
    x = 390,447,782,258,826.19/16,133,769.60
  6. Step 6: Final answer
    x = 24,200,654.40

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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.