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Finding the Fourth Proportional to 323,407,712,806.40, 485,111,569,209.60 and 323,407,712,806.40

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Solution

The fourth proportional to 323,407,712,806.40, 485,111,569,209.60 and 323,407,712,806.40 is: 485,111,569,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,407,712,806.40 : 485,111,569,209.60 = 323,407,712,806.40 : x
  2. Step 2: Convert to fraction form
    323,407,712,806.40/485,111,569,209.60 = 323,407,712,806.40/x
  3. Step 3: Cross multiply
    323,407,712,806.40x = 485,111,569,209.60 × 323,407,712,806.40
  4. Step 4: Simplify right side
    323,407,712,806.40x = 156,888,823,054,000,346,628,096
  5. Step 5: Solve for x
    x = 156,888,823,054,000,346,628,096/323,407,712,806.40
  6. Step 6: Final answer
    x = 485,111,569,209.60

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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.