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Finding the Fourth Proportional to 305,775,612.70, 429,295,181.30 and 305,775,612.70

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Solution

The fourth proportional to 305,775,612.70, 429,295,181.30 and 305,775,612.70 is: 429,295,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,775,612.70 : 429,295,181.30 = 305,775,612.70 : x
  2. Step 2: Convert to fraction form
    305,775,612.70/429,295,181.30 = 305,775,612.70/x
  3. Step 3: Cross multiply
    305,775,612.70x = 429,295,181.30 × 305,775,612.70
  4. Step 4: Simplify right side
    305,775,612.70x = 131,267,997,091,165,088
  5. Step 5: Solve for x
    x = 131,267,997,091,165,088/305,775,612.70
  6. Step 6: Final answer
    x = 429,295,181.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.