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Finding the Fourth Proportional to 870,923,722.80, 1,306,385,584.20 and 870,923,722.80

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Solution

The fourth proportional to 870,923,722.80, 1,306,385,584.20 and 870,923,722.80 is: 1,306,385,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,923,722.80 : 1,306,385,584.20 = 870,923,722.80 : x
  2. Step 2: Convert to fraction form
    870,923,722.80/1,306,385,584.20 = 870,923,722.80/x
  3. Step 3: Cross multiply
    870,923,722.80x = 1,306,385,584.20 × 870,923,722.80
  4. Step 4: Simplify right side
    870,923,722.80x = 1,137,762,196,403,716,864
  5. Step 5: Solve for x
    x = 1,137,762,196,403,716,864/870,923,722.80
  6. Step 6: Final answer
    x = 1,306,385,584.20

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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.