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Finding the Fourth Proportional to 822,578,883.21, 1,135,158,858.95 and 470,162,440.76

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Solution

The fourth proportional to 822,578,883.21, 1,135,158,858.95 and 470,162,440.76 is: 648,824,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,578,883.21 : 1,135,158,858.95 = 470,162,440.76 : x
  2. Step 2: Convert to fraction form
    822,578,883.21/1,135,158,858.95 = 470,162,440.76/x
  3. Step 3: Cross multiply
    822,578,883.21x = 1,135,158,858.95 × 470,162,440.76
  4. Step 4: Simplify right side
    822,578,883.21x = 533,709,059,766,241,920
  5. Step 5: Solve for x
    x = 533,709,059,766,241,920/822,578,883.21
  6. Step 6: Final answer
    x = 648,824,168.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.