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Finding the Fourth Proportional to 341,662,489.60, 512,493,734.40 and 284,219,622.40

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Solution

The fourth proportional to 341,662,489.60, 512,493,734.40 and 284,219,622.40 is: 426,329,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,662,489.60 : 512,493,734.40 = 284,219,622.40 : x
  2. Step 2: Convert to fraction form
    341,662,489.60/512,493,734.40 = 284,219,622.40/x
  3. Step 3: Cross multiply
    341,662,489.60x = 512,493,734.40 × 284,219,622.40
  4. Step 4: Simplify right side
    341,662,489.60x = 145,660,775,673,533,856
  5. Step 5: Solve for x
    x = 145,660,775,673,533,856/341,662,489.60
  6. Step 6: Final answer
    x = 426,329,433.60

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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.