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Finding the Fourth Proportional to 489,396,286.30, 734,094,429.45 and 282,488,590.30

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Solution

The fourth proportional to 489,396,286.30, 734,094,429.45 and 282,488,590.30 is: 423,732,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,396,286.30 : 734,094,429.45 = 282,488,590.30 : x
  2. Step 2: Convert to fraction form
    489,396,286.30/734,094,429.45 = 282,488,590.30/x
  3. Step 3: Cross multiply
    489,396,286.30x = 734,094,429.45 × 282,488,590.30
  4. Step 4: Simplify right side
    489,396,286.30x = 207,373,300,522,413,312
  5. Step 5: Solve for x
    x = 207,373,300,522,413,312/489,396,286.30
  6. Step 6: Final answer
    x = 423,732,885.45

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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.