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Finding the Fourth Proportional to 428,652,200.80, 642,978,301.20 and 155,987,538.40

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Solution

The fourth proportional to 428,652,200.80, 642,978,301.20 and 155,987,538.40 is: 233,981,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,652,200.80 : 642,978,301.20 = 155,987,538.40 : x
  2. Step 2: Convert to fraction form
    428,652,200.80/642,978,301.20 = 155,987,538.40/x
  3. Step 3: Cross multiply
    428,652,200.80x = 642,978,301.20 × 155,987,538.40
  4. Step 4: Simplify right side
    428,652,200.80x = 100,296,602,448,801,776
  5. Step 5: Solve for x
    x = 100,296,602,448,801,776/428,652,200.80
  6. Step 6: Final answer
    x = 233,981,307.60

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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.