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Finding the Fourth Proportional to 551,780,467.60, 827,670,701.40 and 489,672,000.40

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Solution

The fourth proportional to 551,780,467.60, 827,670,701.40 and 489,672,000.40 is: 734,508,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,780,467.60 : 827,670,701.40 = 489,672,000.40 : x
  2. Step 2: Convert to fraction form
    551,780,467.60/827,670,701.40 = 489,672,000.40/x
  3. Step 3: Cross multiply
    551,780,467.60x = 827,670,701.40 × 489,672,000.40
  4. Step 4: Simplify right side
    551,780,467.60x = 405,287,168,027,009,024
  5. Step 5: Solve for x
    x = 405,287,168,027,009,024/551,780,467.60
  6. Step 6: Final answer
    x = 734,508,000.60

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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.