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Finding the Fourth Proportional to 522,890,742.42, 783,602,033.28 and 413,233,849.62

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Solution

The fourth proportional to 522,890,742.42, 783,602,033.28 and 413,233,849.62 is: 619,270,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,890,742.42 : 783,602,033.28 = 413,233,849.62 : x
  2. Step 2: Convert to fraction form
    522,890,742.42/783,602,033.28 = 413,233,849.62/x
  3. Step 3: Cross multiply
    522,890,742.42x = 783,602,033.28 × 413,233,849.62
  4. Step 4: Simplify right side
    522,890,742.42x = 323,810,884,782,353,728
  5. Step 5: Solve for x
    x = 323,810,884,782,353,728/522,890,742.42
  6. Step 6: Final answer
    x = 619,270,640.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.