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Finding the Fourth Proportional to 472,392,893.70, 708,589,340.55 and 414,997,265.70

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Solution

The fourth proportional to 472,392,893.70, 708,589,340.55 and 414,997,265.70 is: 622,495,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,893.70 : 708,589,340.55 = 414,997,265.70 : x
  2. Step 2: Convert to fraction form
    472,392,893.70/708,589,340.55 = 414,997,265.70/x
  3. Step 3: Cross multiply
    472,392,893.70x = 708,589,340.55 × 414,997,265.70
  4. Step 4: Simplify right side
    472,392,893.70x = 294,062,638,832,416,128
  5. Step 5: Solve for x
    x = 294,062,638,832,416,128/472,392,893.70
  6. Step 6: Final answer
    x = 622,495,898.55

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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.