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Finding the Fourth Proportional to 289,649,117.60, 434,473,676.40 and 257,904,375.20

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Solution

The fourth proportional to 289,649,117.60, 434,473,676.40 and 257,904,375.20 is: 386,856,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,649,117.60 : 434,473,676.40 = 257,904,375.20 : x
  2. Step 2: Convert to fraction form
    289,649,117.60/434,473,676.40 = 257,904,375.20/x
  3. Step 3: Cross multiply
    289,649,117.60x = 434,473,676.40 × 257,904,375.20
  4. Step 4: Simplify right side
    289,649,117.60x = 112,052,662,052,788,976
  5. Step 5: Solve for x
    x = 112,052,662,052,788,976/289,649,117.60
  6. Step 6: Final answer
    x = 386,856,562.80

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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.