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Finding the Fourth Proportional to 573,939,432,002.55, 860,909,148,003.90 and 573,939,432,002.55

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Solution

The fourth proportional to 573,939,432,002.55, 860,909,148,003.90 and 573,939,432,002.55 is: 860,909,148,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,939,432,002.55 : 860,909,148,003.90 = 573,939,432,002.55 : x
  2. Step 2: Convert to fraction form
    573,939,432,002.55/860,909,148,003.90 = 573,939,432,002.55/x
  3. Step 3: Cross multiply
    573,939,432,002.55x = 860,909,148,003.90 × 573,939,432,002.55
  4. Step 4: Simplify right side
    573,939,432,002.55x = 494,109,707,411,157,646,573,568
  5. Step 5: Solve for x
    x = 494,109,707,411,157,646,573,568/573,939,432,002.55
  6. Step 6: Final answer
    x = 860,909,148,003.90

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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.