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Finding the Fourth Proportional to 831,868,224.72, 1,148,014,022.22 and 460,590,288.90

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Solution

The fourth proportional to 831,868,224.72, 1,148,014,022.22 and 460,590,288.90 is: 635,634,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,868,224.72 : 1,148,014,022.22 = 460,590,288.90 : x
  2. Step 2: Convert to fraction form
    831,868,224.72/1,148,014,022.22 = 460,590,288.90/x
  3. Step 3: Cross multiply
    831,868,224.72x = 1,148,014,022.22 × 460,590,288.90
  4. Step 4: Simplify right side
    831,868,224.72x = 528,764,110,155,560,832
  5. Step 5: Solve for x
    x = 528,764,110,155,560,832/831,868,224.72
  6. Step 6: Final answer
    x = 635,634,460.41

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Why These Related Problems?

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