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Finding the Fourth Proportional to 919,408,090.20, 1,379,783,981.70 and 647,310,298.20

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Solution

The fourth proportional to 919,408,090.20, 1,379,783,981.70 and 647,310,298.20 is: 971,438,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,408,090.20 : 1,379,783,981.70 = 647,310,298.20 : x
  2. Step 2: Convert to fraction form
    919,408,090.20/1,379,783,981.70 = 647,310,298.20/x
  3. Step 3: Cross multiply
    919,408,090.20x = 1,379,783,981.70 × 647,310,298.20
  4. Step 4: Simplify right side
    919,408,090.20x = 893,148,380,645,810,432
  5. Step 5: Solve for x
    x = 893,148,380,645,810,432/919,408,090.20
  6. Step 6: Final answer
    x = 971,438,461.51

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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.