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Finding the Fourth Proportional to 882,479,002.82, 1,321,996,435.32 and 687,477,357.50

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Solution

The fourth proportional to 882,479,002.82, 1,321,996,435.32 and 687,477,357.50 is: 1,029,874,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,479,002.82 : 1,321,996,435.32 = 687,477,357.50 : x
  2. Step 2: Convert to fraction form
    882,479,002.82/1,321,996,435.32 = 687,477,357.50/x
  3. Step 3: Cross multiply
    882,479,002.82x = 1,321,996,435.32 × 687,477,357.50
  4. Step 4: Simplify right side
    882,479,002.82x = 908,842,615,978,213,248
  5. Step 5: Solve for x
    x = 908,842,615,978,213,248/882,479,002.82
  6. Step 6: Final answer
    x = 1,029,874,493.41

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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.