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Finding the Fourth Proportional to 216,880,771,903.20, 325,321,157,854.80 and 216,880,771,903.20

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Solution

The fourth proportional to 216,880,771,903.20, 325,321,157,854.80 and 216,880,771,903.20 is: 325,321,157,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880,771,903.20 : 325,321,157,854.80 = 216,880,771,903.20 : x
  2. Step 2: Convert to fraction form
    216,880,771,903.20/325,321,157,854.80 = 216,880,771,903.20/x
  3. Step 3: Cross multiply
    216,880,771,903.20x = 325,321,157,854.80 × 216,880,771,903.20
  4. Step 4: Simplify right side
    216,880,771,903.20x = 70,555,903,831,991,801,348,096
  5. Step 5: Solve for x
    x = 70,555,903,831,991,801,348,096/216,880,771,903.20
  6. Step 6: Final answer
    x = 325,321,157,854.80

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1.5x scale

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.