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Finding the Fourth Proportional to 831,868,223.05, 1,148,014,019.94 and 460,590,287.23

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Solution

The fourth proportional to 831,868,223.05, 1,148,014,019.94 and 460,590,287.23 is: 635,634,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,868,223.05 : 1,148,014,019.94 = 460,590,287.23 : x
  2. Step 2: Convert to fraction form
    831,868,223.05/1,148,014,019.94 = 460,590,287.23/x
  3. Step 3: Cross multiply
    831,868,223.05x = 1,148,014,019.94 × 460,590,287.23
  4. Step 4: Simplify right side
    831,868,223.05x = 528,764,107,188,231,616
  5. Step 5: Solve for x
    x = 528,764,107,188,231,616/831,868,223.05
  6. Step 6: Final answer
    x = 635,634,458.12

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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.