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Finding the Fourth Proportional to 309,690,772,954.40, 464,536,159,431.60 and 309,690,772,954.40

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Solution

The fourth proportional to 309,690,772,954.40, 464,536,159,431.60 and 309,690,772,954.40 is: 464,536,159,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,690,772,954.40 : 464,536,159,431.60 = 309,690,772,954.40 : x
  2. Step 2: Convert to fraction form
    309,690,772,954.40/464,536,159,431.60 = 309,690,772,954.40/x
  3. Step 3: Cross multiply
    309,690,772,954.40x = 464,536,159,431.60 × 309,690,772,954.40
  4. Step 4: Simplify right side
    309,690,772,954.40x = 143,862,562,279,640,591,761,408
  5. Step 5: Solve for x
    x = 143,862,562,279,640,591,761,408/309,690,772,954.40
  6. Step 6: Final answer
    x = 464,536,159,431.60

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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.