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Finding the Fourth Proportional to 822,906,866,904.06, 1,234,360,300,356.10 and 822,906,866,904.06

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Solution

The fourth proportional to 822,906,866,904.06, 1,234,360,300,356.10 and 822,906,866,904.06 is: 1,234,360,300,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,906,866,904.06 : 1,234,360,300,356.10 = 822,906,866,904.06 : x
  2. Step 2: Convert to fraction form
    822,906,866,904.06/1,234,360,300,356.10 = 822,906,866,904.06/x
  3. Step 3: Cross multiply
    822,906,866,904.06x = 1,234,360,300,356.10 × 822,906,866,904.06
  4. Step 4: Simplify right side
    822,906,866,904.06x = 1,015,763,567,396,792,850,972,672
  5. Step 5: Solve for x
    x = 1,015,763,567,396,792,850,972,672/822,906,866,904.06
  6. Step 6: Final answer
    x = 1,234,360,300,356.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.