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Finding the Fourth Proportional to 320,806,656,302.10, 481,209,984,453.15 and 320,806,656,302.10

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Solution

The fourth proportional to 320,806,656,302.10, 481,209,984,453.15 and 320,806,656,302.10 is: 481,209,984,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,806,656,302.10 : 481,209,984,453.15 = 320,806,656,302.10 : x
  2. Step 2: Convert to fraction form
    320,806,656,302.10/481,209,984,453.15 = 320,806,656,302.10/x
  3. Step 3: Cross multiply
    320,806,656,302.10x = 481,209,984,453.15 × 320,806,656,302.10
  4. Step 4: Simplify right side
    320,806,656,302.10x = 154,375,366,091,600,587,390,976
  5. Step 5: Solve for x
    x = 154,375,366,091,600,587,390,976/320,806,656,302.10
  6. Step 6: Final answer
    x = 481,209,984,453.15

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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.