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Finding the Fourth Proportional to 546,658,610.40, 820,059,843.60 and 201,854,440.80

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Solution

The fourth proportional to 546,658,610.40, 820,059,843.60 and 201,854,440.80 is: 302,808,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,658,610.40 : 820,059,843.60 = 201,854,440.80 : x
  2. Step 2: Convert to fraction form
    546,658,610.40/820,059,843.60 = 201,854,440.80/x
  3. Step 3: Cross multiply
    546,658,610.40x = 820,059,843.60 × 201,854,440.80
  4. Step 4: Simplify right side
    546,658,610.40x = 165,532,721,152,413,472
  5. Step 5: Solve for x
    x = 165,532,721,152,413,472/546,658,610.40
  6. Step 6: Final answer
    x = 302,808,220.71

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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.