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Finding the Fourth Proportional to 409,900,671.60, 614,851,007.40 and 370,361,461.20

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Solution

The fourth proportional to 409,900,671.60, 614,851,007.40 and 370,361,461.20 is: 555,542,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900,671.60 : 614,851,007.40 = 370,361,461.20 : x
  2. Step 2: Convert to fraction form
    409,900,671.60/614,851,007.40 = 370,361,461.20/x
  3. Step 3: Cross multiply
    409,900,671.60x = 614,851,007.40 × 370,361,461.20
  4. Step 4: Simplify right side
    409,900,671.60x = 227,717,117,520,956,000
  5. Step 5: Solve for x
    x = 227,717,117,520,956,000/409,900,671.60
  6. Step 6: Final answer
    x = 555,542,191.80

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Why These Related Problems?

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