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Finding the Fourth Proportional to 260,763,841,148.80, 391,145,761,723.20 and 260,763,841,148.80

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Solution

The fourth proportional to 260,763,841,148.80, 391,145,761,723.20 and 260,763,841,148.80 is: 391,145,761,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,763,841,148.80 : 391,145,761,723.20 = 260,763,841,148.80 : x
  2. Step 2: Convert to fraction form
    260,763,841,148.80/391,145,761,723.20 = 260,763,841,148.80/x
  3. Step 3: Cross multiply
    260,763,841,148.80x = 391,145,761,723.20 × 260,763,841,148.80
  4. Step 4: Simplify right side
    260,763,841,148.80x = 101,996,671,276,014,890,909,696
  5. Step 5: Solve for x
    x = 101,996,671,276,014,890,909,696/260,763,841,148.80
  6. Step 6: Final answer
    x = 391,145,761,723.20

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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.