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Finding the Fourth Proportional to 822,659,837.74, 1,135,270,588.71 and 470,243,463.10

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Solution

The fourth proportional to 822,659,837.74, 1,135,270,588.71 and 470,243,463.10 is: 648,935,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,659,837.74 : 1,135,270,588.71 = 470,243,463.10 : x
  2. Step 2: Convert to fraction form
    822,659,837.74/1,135,270,588.71 = 470,243,463.10/x
  3. Step 3: Cross multiply
    822,659,837.74x = 1,135,270,588.71 × 470,243,463.10
  4. Step 4: Simplify right side
    822,659,837.74x = 533,853,573,189,467,968
  5. Step 5: Solve for x
    x = 533,853,573,189,467,968/822,659,837.74
  6. Step 6: Final answer
    x = 648,935,986.30

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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.