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Finding the Fourth Proportional to 217,205,889,400.20, 325,808,834,100.30 and 217,205,889,400.20

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Solution

The fourth proportional to 217,205,889,400.20, 325,808,834,100.30 and 217,205,889,400.20 is: 325,808,834,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,205,889,400.20 : 325,808,834,100.30 = 217,205,889,400.20 : x
  2. Step 2: Convert to fraction form
    217,205,889,400.20/325,808,834,100.30 = 217,205,889,400.20/x
  3. Step 3: Cross multiply
    217,205,889,400.20x = 325,808,834,100.30 × 217,205,889,400.20
  4. Step 4: Simplify right side
    217,205,889,400.20x = 70,767,597,585,197,871,136,768
  5. Step 5: Solve for x
    x = 70,767,597,585,197,871,136,768/217,205,889,400.20
  6. Step 6: Final answer
    x = 325,808,834,100.30

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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.