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Finding the Fourth Proportional to 455,464,138.20, 683,196,207.30 and 455,464,138.20

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Solution

The fourth proportional to 455,464,138.20, 683,196,207.30 and 455,464,138.20 is: 683,196,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,464,138.20 : 683,196,207.30 = 455,464,138.20 : x
  2. Step 2: Convert to fraction form
    455,464,138.20/683,196,207.30 = 455,464,138.20/x
  3. Step 3: Cross multiply
    455,464,138.20x = 683,196,207.30 × 455,464,138.20
  4. Step 4: Simplify right side
    455,464,138.20x = 311,171,371,779,403,008
  5. Step 5: Solve for x
    x = 311,171,371,779,403,008/455,464,138.20
  6. Step 6: Final answer
    x = 683,196,207.30

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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.