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Finding the Fourth Proportional to 682,717,016.64, 942,149,484 and 369,451,230.48

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Solution

The fourth proportional to 682,717,016.64, 942,149,484 and 369,451,230.48 is: 509,842,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,717,016.64 : 942,149,484 = 369,451,230.48 : x
  2. Step 2: Convert to fraction form
    682,717,016.64/942,149,484 = 369,451,230.48/x
  3. Step 3: Cross multiply
    682,717,016.64x = 942,149,484 × 369,451,230.48
  4. Step 4: Simplify right side
    682,717,016.64x = 348,078,286,159,897,088
  5. Step 5: Solve for x
    x = 348,078,286,159,897,088/682,717,016.64
  6. Step 6: Final answer
    x = 509,842,698.62

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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.