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Finding the Fourth Proportional to 485,808,214.60, 728,712,321.90 and 438,946,928.20

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Solution

The fourth proportional to 485,808,214.60, 728,712,321.90 and 438,946,928.20 is: 658,420,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,808,214.60 : 728,712,321.90 = 438,946,928.20 : x
  2. Step 2: Convert to fraction form
    485,808,214.60/728,712,321.90 = 438,946,928.20/x
  3. Step 3: Cross multiply
    485,808,214.60x = 728,712,321.90 × 438,946,928.20
  4. Step 4: Simplify right side
    485,808,214.60x = 319,866,035,239,494,592
  5. Step 5: Solve for x
    x = 319,866,035,239,494,592/485,808,214.60
  6. Step 6: Final answer
    x = 658,420,392.30

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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.