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Finding the Fourth Proportional to 408,824,005.02, 564,174,256.82 and 223,185,020.64

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Solution

The fourth proportional to 408,824,005.02, 564,174,256.82 and 223,185,020.64 is: 307,993,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824,005.02 : 564,174,256.82 = 223,185,020.64 : x
  2. Step 2: Convert to fraction form
    408,824,005.02/564,174,256.82 = 223,185,020.64/x
  3. Step 3: Cross multiply
    408,824,005.02x = 564,174,256.82 × 223,185,020.64
  4. Step 4: Simplify right side
    408,824,005.02x = 125,915,243,152,928,368
  5. Step 5: Solve for x
    x = 125,915,243,152,928,368/408,824,005.02
  6. Step 6: Final answer
    x = 307,993,761.64

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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.