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Finding the Fourth Proportional to 85,214,982.30, 127,822,473.45 and 85,214,982.30

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Solution

The fourth proportional to 85,214,982.30, 127,822,473.45 and 85,214,982.30 is: 127,822,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214,982.30 : 127,822,473.45 = 85,214,982.30 : x
  2. Step 2: Convert to fraction form
    85,214,982.30/127,822,473.45 = 85,214,982.30/x
  3. Step 3: Cross multiply
    85,214,982.30x = 127,822,473.45 × 85,214,982.30
  4. Step 4: Simplify right side
    85,214,982.30x = 10,892,389,812,583,970
  5. Step 5: Solve for x
    x = 10,892,389,812,583,970/85,214,982.30
  6. Step 6: Final answer
    x = 127,822,473.45

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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.