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Finding the Fourth Proportional to 209,952,301.60, 314,928,452.40 and 118,119,296.80

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Solution

The fourth proportional to 209,952,301.60, 314,928,452.40 and 118,119,296.80 is: 177,178,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,301.60 : 314,928,452.40 = 118,119,296.80 : x
  2. Step 2: Convert to fraction form
    209,952,301.60/314,928,452.40 = 118,119,296.80/x
  3. Step 3: Cross multiply
    209,952,301.60x = 314,928,452.40 × 118,119,296.80
  4. Step 4: Simplify right side
    209,952,301.60x = 37,199,127,339,800,272
  5. Step 5: Solve for x
    x = 37,199,127,339,800,272/209,952,301.60
  6. Step 6: Final answer
    x = 177,178,945.20

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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.