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Finding the Fourth Proportional to 82,013,456.70, 123,020,185.05 and 82,013,456.70

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Solution

The fourth proportional to 82,013,456.70, 123,020,185.05 and 82,013,456.70 is: 123,020,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013,456.70 : 123,020,185.05 = 82,013,456.70 : x
  2. Step 2: Convert to fraction form
    82,013,456.70/123,020,185.05 = 82,013,456.70/x
  3. Step 3: Cross multiply
    82,013,456.70x = 123,020,185.05 × 82,013,456.70
  4. Step 4: Simplify right side
    82,013,456.70x = 10,089,310,619,824,162
  5. Step 5: Solve for x
    x = 10,089,310,619,824,162/82,013,456.70
  6. Step 6: Final answer
    x = 123,020,185.05

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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.