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Finding the Fourth Proportional to 728,941,556.16, 1,005,938,697.33 and 411,468,626.25

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Solution

The fourth proportional to 728,941,556.16, 1,005,938,697.33 and 411,468,626.25 is: 567,826,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,941,556.16 : 1,005,938,697.33 = 411,468,626.25 : x
  2. Step 2: Convert to fraction form
    728,941,556.16/1,005,938,697.33 = 411,468,626.25/x
  3. Step 3: Cross multiply
    728,941,556.16x = 1,005,938,697.33 × 411,468,626.25
  4. Step 4: Simplify right side
    728,941,556.16x = 413,912,213,882,089,664
  5. Step 5: Solve for x
    x = 413,912,213,882,089,664/728,941,556.16
  6. Step 6: Final answer
    x = 567,826,337.22

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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.