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Finding the Fourth Proportional to 212,191,974,218.70, 318,287,961,328.05 and 212,191,974,218.70

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Solution

The fourth proportional to 212,191,974,218.70, 318,287,961,328.05 and 212,191,974,218.70 is: 318,287,961,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,191,974,218.70 : 318,287,961,328.05 = 212,191,974,218.70 : x
  2. Step 2: Convert to fraction form
    212,191,974,218.70/318,287,961,328.05 = 212,191,974,218.70/x
  3. Step 3: Cross multiply
    212,191,974,218.70x = 318,287,961,328.05 × 212,191,974,218.70
  4. Step 4: Simplify right side
    212,191,974,218.70x = 67,538,150,884,244,170,211,328
  5. Step 5: Solve for x
    x = 67,538,150,884,244,170,211,328/212,191,974,218.70
  6. Step 6: Final answer
    x = 318,287,961,328.05

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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.