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Finding the Fourth Proportional to 341,662,495.60, 512,493,743.40 and 284,219,628.40

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Solution

The fourth proportional to 341,662,495.60, 512,493,743.40 and 284,219,628.40 is: 426,329,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,662,495.60 : 512,493,743.40 = 284,219,628.40 : x
  2. Step 2: Convert to fraction form
    341,662,495.60/512,493,743.40 = 284,219,628.40/x
  3. Step 3: Cross multiply
    341,662,495.60x = 512,493,743.40 × 284,219,628.40
  4. Step 4: Simplify right side
    341,662,495.60x = 145,660,781,306,472,928
  5. Step 5: Solve for x
    x = 145,660,781,306,472,928/341,662,495.60
  6. Step 6: Final answer
    x = 426,329,442.60

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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.