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Finding the Fourth Proportional to 1,063,013,825.80, 1,594,520,738.70 and 489,704,897.80

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Solution

The fourth proportional to 1,063,013,825.80, 1,594,520,738.70 and 489,704,897.80 is: 734,557,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,013,825.80 : 1,594,520,738.70 = 489,704,897.80 : x
  2. Step 2: Convert to fraction form
    1,063,013,825.80/1,594,520,738.70 = 489,704,897.80/x
  3. Step 3: Cross multiply
    1,063,013,825.80x = 1,594,520,738.70 × 489,704,897.80
  4. Step 4: Simplify right side
    1,063,013,825.80x = 780,844,615,385,064,064
  5. Step 5: Solve for x
    x = 780,844,615,385,064,064/1,063,013,825.80
  6. Step 6: Final answer
    x = 734,557,346.70

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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.