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Finding the Fourth Proportional to 489,024,686.48, 733,537,029.71 and 489,024,686.48

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Solution

The fourth proportional to 489,024,686.48, 733,537,029.71 and 489,024,686.48 is: 733,537,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,024,686.48 : 733,537,029.71 = 489,024,686.48 : x
  2. Step 2: Convert to fraction form
    489,024,686.48/733,537,029.71 = 489,024,686.48/x
  3. Step 3: Cross multiply
    489,024,686.48x = 733,537,029.71 × 489,024,686.48
  4. Step 4: Simplify right side
    489,024,686.48x = 358,717,715,972,958,080
  5. Step 5: Solve for x
    x = 358,717,715,972,958,080/489,024,686.48
  6. Step 6: Final answer
    x = 733,537,029.71

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Why These Related Problems?

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