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Finding the Fourth Proportional to 561,338,978.50, 774,561,732.12 and 323,138,119.06

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Solution

The fourth proportional to 561,338,978.50, 774,561,732.12 and 323,138,119.06 is: 445,881,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,338,978.50 : 774,561,732.12 = 323,138,119.06 : x
  2. Step 2: Convert to fraction form
    561,338,978.50/774,561,732.12 = 323,138,119.06/x
  3. Step 3: Cross multiply
    561,338,978.50x = 774,561,732.12 × 323,138,119.06
  4. Step 4: Simplify right side
    561,338,978.50x = 250,290,421,213,112,384
  5. Step 5: Solve for x
    x = 250,290,421,213,112,384/561,338,978.50
  6. Step 6: Final answer
    x = 445,881,064.38

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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.