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Finding the Fourth Proportional to 682,677,590.44, 942,096,712.44 and 369,415,165.90

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Solution

The fourth proportional to 682,677,590.44, 942,096,712.44 and 369,415,165.90 is: 509,793,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,677,590.44 : 942,096,712.44 = 369,415,165.90 : x
  2. Step 2: Convert to fraction form
    682,677,590.44/942,096,712.44 = 369,415,165.90/x
  3. Step 3: Cross multiply
    682,677,590.44x = 942,096,712.44 × 369,415,165.90
  4. Step 4: Simplify right side
    682,677,590.44x = 348,024,813,319,867,200
  5. Step 5: Solve for x
    x = 348,024,813,319,867,200/682,677,590.44
  6. Step 6: Final answer
    x = 509,793,815.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.