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Finding the Fourth Proportional to 298,387,726,280.40, 447,581,589,420.60 and 298,387,726,280.40

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Solution

The fourth proportional to 298,387,726,280.40, 447,581,589,420.60 and 298,387,726,280.40 is: 447,581,589,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,387,726,280.40 : 447,581,589,420.60 = 298,387,726,280.40 : x
  2. Step 2: Convert to fraction form
    298,387,726,280.40/447,581,589,420.60 = 298,387,726,280.40/x
  3. Step 3: Cross multiply
    298,387,726,280.40x = 447,581,589,420.60 × 298,387,726,280.40
  4. Step 4: Simplify right side
    298,387,726,280.40x = 133,552,852,792,180,371,095,552
  5. Step 5: Solve for x
    x = 133,552,852,792,180,371,095,552/298,387,726,280.40
  6. Step 6: Final answer
    x = 447,581,589,420.60

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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.