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Finding the Fourth Proportional to 409,452,510.40, 614,178,765.60 and 254,484,314.80

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Solution

The fourth proportional to 409,452,510.40, 614,178,765.60 and 254,484,314.80 is: 381,726,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,452,510.40 : 614,178,765.60 = 254,484,314.80 : x
  2. Step 2: Convert to fraction form
    409,452,510.40/614,178,765.60 = 254,484,314.80/x
  3. Step 3: Cross multiply
    409,452,510.40x = 614,178,765.60 × 254,484,314.80
  4. Step 4: Simplify right side
    409,452,510.40x = 156,298,862,328,425,824
  5. Step 5: Solve for x
    x = 156,298,862,328,425,824/409,452,510.40
  6. Step 6: Final answer
    x = 381,726,472.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.