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Finding the Fourth Proportional to 216,880,772,002.70, 325,321,158,004.05 and 216,880,772,002.70

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Solution

The fourth proportional to 216,880,772,002.70, 325,321,158,004.05 and 216,880,772,002.70 is: 325,321,158,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880,772,002.70 : 325,321,158,004.05 = 216,880,772,002.70 : x
  2. Step 2: Convert to fraction form
    216,880,772,002.70/325,321,158,004.05 = 216,880,772,002.70/x
  3. Step 3: Cross multiply
    216,880,772,002.70x = 325,321,158,004.05 × 216,880,772,002.70
  4. Step 4: Simplify right side
    216,880,772,002.70x = 70,555,903,896,730,707,427,328
  5. Step 5: Solve for x
    x = 70,555,903,896,730,707,427,328/216,880,772,002.70
  6. Step 6: Final answer
    x = 325,321,158,004.05

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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.