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Finding the Fourth Proportional to 538,178,430,010.20, 807,267,645,015.30 and 538,178,430,010.20

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Solution

The fourth proportional to 538,178,430,010.20, 807,267,645,015.30 and 538,178,430,010.20 is: 807,267,645,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,178,430,010.20 : 807,267,645,015.30 = 538,178,430,010.20 : x
  2. Step 2: Convert to fraction form
    538,178,430,010.20/807,267,645,015.30 = 538,178,430,010.20/x
  3. Step 3: Cross multiply
    538,178,430,010.20x = 807,267,645,015.30 × 538,178,430,010.20
  4. Step 4: Simplify right side
    538,178,430,010.20x = 434,454,033,792,365,628,489,728
  5. Step 5: Solve for x
    x = 434,454,033,792,365,628,489,728/538,178,430,010.20
  6. Step 6: Final answer
    x = 807,267,645,015.30

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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.