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Finding the Fourth Proportional to 390,009,384, 538,213,027.68 and 216,169,128

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Solution

The fourth proportional to 390,009,384, 538,213,027.68 and 216,169,128 is: 298,313,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,009,384 : 538,213,027.68 = 216,169,128 : x
  2. Step 2: Convert to fraction form
    390,009,384/538,213,027.68 = 216,169,128/x
  3. Step 3: Cross multiply
    390,009,384x = 538,213,027.68 × 216,169,128
  4. Step 4: Simplify right side
    390,009,384x = 116,345,040,871,825,456
  5. Step 5: Solve for x
    x = 116,345,040,871,825,456/390,009,384
  6. Step 6: Final answer
    x = 298,313,439.74

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