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Finding the Fourth Proportional to 5,583,836.70, 7,828,000.20 and 5,583,836.70

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Solution

The fourth proportional to 5,583,836.70, 7,828,000.20 and 5,583,836.70 is: 7,828,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583,836.70 : 7,828,000.20 = 5,583,836.70 : x
  2. Step 2: Convert to fraction form
    5,583,836.70/7,828,000.20 = 5,583,836.70/x
  3. Step 3: Cross multiply
    5,583,836.70x = 7,828,000.20 × 5,583,836.70
  4. Step 4: Simplify right side
    5,583,836.70x = 43,710,274,804,367.34
  5. Step 5: Solve for x
    x = 43,710,274,804,367.34/5,583,836.70
  6. Step 6: Final answer
    x = 7,828,000.20

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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.