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Finding the Fourth Proportional to 822,659,836.18, 1,135,270,586.56 and 470,243,461.54

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Solution

The fourth proportional to 822,659,836.18, 1,135,270,586.56 and 470,243,461.54 is: 648,935,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,659,836.18 : 1,135,270,586.56 = 470,243,461.54 : x
  2. Step 2: Convert to fraction form
    822,659,836.18/1,135,270,586.56 = 470,243,461.54/x
  3. Step 3: Cross multiply
    822,659,836.18x = 1,135,270,586.56 × 470,243,461.54
  4. Step 4: Simplify right side
    822,659,836.18x = 533,853,570,408,520,576
  5. Step 5: Solve for x
    x = 533,853,570,408,520,576/822,659,836.18
  6. Step 6: Final answer
    x = 648,935,984.15

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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.