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Finding the Fourth Proportional to 85,205,214.20, 127,807,821.30 and 85,205,214.20

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Solution

The fourth proportional to 85,205,214.20, 127,807,821.30 and 85,205,214.20 is: 127,807,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,205,214.20 : 127,807,821.30 = 85,205,214.20 : x
  2. Step 2: Convert to fraction form
    85,205,214.20/127,807,821.30 = 85,205,214.20/x
  3. Step 3: Cross multiply
    85,205,214.20x = 127,807,821.30 × 85,205,214.20
  4. Step 4: Simplify right side
    85,205,214.20x = 10,889,892,790,301,822
  5. Step 5: Solve for x
    x = 10,889,892,790,301,822/85,205,214.20
  6. Step 6: Final answer
    x = 127,807,821.30

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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.