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Finding the Fourth Proportional to 37,689,853.60, 52,885,234.40 and 37,689,853.60

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Solution

The fourth proportional to 37,689,853.60, 52,885,234.40 and 37,689,853.60 is: 52,885,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,689,853.60 : 52,885,234.40 = 37,689,853.60 : x
  2. Step 2: Convert to fraction form
    37,689,853.60/52,885,234.40 = 37,689,853.60/x
  3. Step 3: Cross multiply
    37,689,853.60x = 52,885,234.40 × 37,689,853.60
  4. Step 4: Simplify right side
    37,689,853.60x = 1,993,236,742,137,683.75
  5. Step 5: Solve for x
    x = 1,993,236,742,137,683.75/37,689,853.60
  6. Step 6: Final answer
    x = 52,885,234.40

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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.