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Finding the Fourth Proportional to 435,979,456,019.20, 653,969,184,028.80 and 435,979,456,019.20

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Solution

The fourth proportional to 435,979,456,019.20, 653,969,184,028.80 and 435,979,456,019.20 is: 653,969,184,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,979,456,019.20 : 653,969,184,028.80 = 435,979,456,019.20 : x
  2. Step 2: Convert to fraction form
    435,979,456,019.20/653,969,184,028.80 = 435,979,456,019.20/x
  3. Step 3: Cross multiply
    435,979,456,019.20x = 653,969,184,028.80 × 435,979,456,019.20
  4. Step 4: Simplify right side
    435,979,456,019.20x = 285,117,129,106,196,340,408,320
  5. Step 5: Solve for x
    x = 285,117,129,106,196,340,408,320/435,979,456,019.20
  6. Step 6: Final answer
    x = 653,969,184,028.80

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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.