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Finding the Fourth Proportional to 831,868,223.21, 1,148,014,020.15 and 460,590,287.39

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Solution

The fourth proportional to 831,868,223.21, 1,148,014,020.15 and 460,590,287.39 is: 635,634,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,868,223.21 : 1,148,014,020.15 = 460,590,287.39 : x
  2. Step 2: Convert to fraction form
    831,868,223.21/1,148,014,020.15 = 460,590,287.39/x
  3. Step 3: Cross multiply
    831,868,223.21x = 1,148,014,020.15 × 460,590,287.39
  4. Step 4: Simplify right side
    831,868,223.21x = 528,764,107,462,897,728
  5. Step 5: Solve for x
    x = 528,764,107,462,897,728/831,868,223.21
  6. Step 6: Final answer
    x = 635,634,458.33

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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.