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Finding the Fourth Proportional to 564,595,608.80, 845,759,672.40 and 321,975,077.60

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Solution

The fourth proportional to 564,595,608.80, 845,759,672.40 and 321,975,077.60 is: 482,316,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,595,608.80 : 845,759,672.40 = 321,975,077.60 : x
  2. Step 2: Convert to fraction form
    564,595,608.80/845,759,672.40 = 321,975,077.60/x
  3. Step 3: Cross multiply
    564,595,608.80x = 845,759,672.40 × 321,975,077.60
  4. Step 4: Simplify right side
    564,595,608.80x = 272,313,536,151,940,576
  5. Step 5: Solve for x
    x = 272,313,536,151,940,576/564,595,608.80
  6. Step 6: Final answer
    x = 482,316,071.73

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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.