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Finding the Fourth Proportional to 164,896,028.20, 230,552,108.60 and 164,896,028.20

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Solution

The fourth proportional to 164,896,028.20, 230,552,108.60 and 164,896,028.20 is: 230,552,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,896,028.20 : 230,552,108.60 = 164,896,028.20 : x
  2. Step 2: Convert to fraction form
    164,896,028.20/230,552,108.60 = 164,896,028.20/x
  3. Step 3: Cross multiply
    164,896,028.20x = 230,552,108.60 × 164,896,028.20
  4. Step 4: Simplify right side
    164,896,028.20x = 38,017,127,001,275,056
  5. Step 5: Solve for x
    x = 38,017,127,001,275,056/164,896,028.20
  6. Step 6: Final answer
    x = 230,552,108.60

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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.