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Finding the Fourth Proportional to 585,782,583.68, 873,498,419.88 and 580,524,860.64

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Solution

The fourth proportional to 585,782,583.68, 873,498,419.88 and 580,524,860.64 is: 865,658,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,782,583.68 : 873,498,419.88 = 580,524,860.64 : x
  2. Step 2: Convert to fraction form
    585,782,583.68/873,498,419.88 = 580,524,860.64/x
  3. Step 3: Cross multiply
    585,782,583.68x = 873,498,419.88 × 580,524,860.64
  4. Step 4: Simplify right side
    585,782,583.68x = 507,087,548,470,097,216
  5. Step 5: Solve for x
    x = 507,087,548,470,097,216/585,782,583.68
  6. Step 6: Final answer
    x = 865,658,287.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.