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Finding the Fourth Proportional to 201,218,746.60, 301,828,119.90 and 150,200,410.60

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Solution

The fourth proportional to 201,218,746.60, 301,828,119.90 and 150,200,410.60 is: 225,300,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218,746.60 : 301,828,119.90 = 150,200,410.60 : x
  2. Step 2: Convert to fraction form
    201,218,746.60/301,828,119.90 = 150,200,410.60/x
  3. Step 3: Cross multiply
    201,218,746.60x = 301,828,119.90 × 150,200,410.60
  4. Step 4: Simplify right side
    201,218,746.60x = 45,334,707,539,606,024
  5. Step 5: Solve for x
    x = 45,334,707,539,606,024/201,218,746.60
  6. Step 6: Final answer
    x = 225,300,615.90

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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.