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Finding the Fourth Proportional to 314,338,412.80, 471,507,619.20 and 161,283,404.80

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Solution

The fourth proportional to 314,338,412.80, 471,507,619.20 and 161,283,404.80 is: 241,925,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,338,412.80 : 471,507,619.20 = 161,283,404.80 : x
  2. Step 2: Convert to fraction form
    314,338,412.80/471,507,619.20 = 161,283,404.80/x
  3. Step 3: Cross multiply
    314,338,412.80x = 471,507,619.20 × 161,283,404.80
  4. Step 4: Simplify right side
    314,338,412.80x = 76,046,354,213,717,856
  5. Step 5: Solve for x
    x = 76,046,354,213,717,856/314,338,412.80
  6. Step 6: Final answer
    x = 241,925,107.20

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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.