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Finding the Fourth Proportional to 873,863,846.37, 1,205,949,885.11 and 477,412,514.01

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Solution

The fourth proportional to 873,863,846.37, 1,205,949,885.11 and 477,412,514.01 is: 658,838,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,863,846.37 : 1,205,949,885.11 = 477,412,514.01 : x
  2. Step 2: Convert to fraction form
    873,863,846.37/1,205,949,885.11 = 477,412,514.01/x
  3. Step 3: Cross multiply
    873,863,846.37x = 1,205,949,885.11 × 477,412,514.01
  4. Step 4: Simplify right side
    873,863,846.37x = 575,735,566,418,048,704
  5. Step 5: Solve for x
    x = 575,735,566,418,048,704/873,863,846.37
  6. Step 6: Final answer
    x = 658,838,981.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.