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Finding the Fourth Proportional to 14,857,205.10, 20,814,258.90 and 14,857,205.10

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Solution

The fourth proportional to 14,857,205.10, 20,814,258.90 and 14,857,205.10 is: 20,814,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857,205.10 : 20,814,258.90 = 14,857,205.10 : x
  2. Step 2: Convert to fraction form
    14,857,205.10/20,814,258.90 = 14,857,205.10/x
  3. Step 3: Cross multiply
    14,857,205.10x = 20,814,258.90 × 14,857,205.10
  4. Step 4: Simplify right side
    14,857,205.10x = 309,241,713,481,800.38
  5. Step 5: Solve for x
    x = 309,241,713,481,800.38/14,857,205.10
  6. Step 6: Final answer
    x = 20,814,258.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.