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Finding the Fourth Proportional to 14,096,532.70, 21,097,559.85 and 14,096,532.70

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Solution

The fourth proportional to 14,096,532.70, 21,097,559.85 and 14,096,532.70 is: 21,097,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096,532.70 : 21,097,559.85 = 14,096,532.70 : x
  2. Step 2: Convert to fraction form
    14,096,532.70/21,097,559.85 = 14,096,532.70/x
  3. Step 3: Cross multiply
    14,096,532.70x = 21,097,559.85 × 14,096,532.70
  4. Step 4: Simplify right side
    14,096,532.70x = 297,402,442,315,732.12
  5. Step 5: Solve for x
    x = 297,402,442,315,732.12/14,096,532.70
  6. Step 6: Final answer
    x = 21,097,559.85

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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.