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Finding the Fourth Proportional to 410,464,969.32, 566,449,017.84 and 224,814,027.60

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Solution

The fourth proportional to 410,464,969.32, 566,449,017.84 and 224,814,027.60 is: 310,247,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,464,969.32 : 566,449,017.84 = 224,814,027.60 : x
  2. Step 2: Convert to fraction form
    410,464,969.32/566,449,017.84 = 224,814,027.60/x
  3. Step 3: Cross multiply
    410,464,969.32x = 566,449,017.84 × 224,814,027.60
  4. Step 4: Simplify right side
    410,464,969.32x = 127,345,685,130,674,656
  5. Step 5: Solve for x
    x = 127,345,685,130,674,656/410,464,969.32
  6. Step 6: Final answer
    x = 310,247,389.30

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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.