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Finding the Fourth Proportional to 403,408,889.20, 605,113,333.80 and 403,408,889.20

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Solution

The fourth proportional to 403,408,889.20, 605,113,333.80 and 403,408,889.20 is: 605,113,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,408,889.20 : 605,113,333.80 = 403,408,889.20 : x
  2. Step 2: Convert to fraction form
    403,408,889.20/605,113,333.80 = 403,408,889.20/x
  3. Step 3: Cross multiply
    403,408,889.20x = 605,113,333.80 × 403,408,889.20
  4. Step 4: Simplify right side
    403,408,889.20x = 244,108,097,828,366,784
  5. Step 5: Solve for x
    x = 244,108,097,828,366,784/403,408,889.20
  6. Step 6: Final answer
    x = 605,113,333.80

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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.