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Finding the Fourth Proportional to 260,761,443,145.35, 391,142,164,718.16 and 260,761,443,145.35

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Solution

The fourth proportional to 260,761,443,145.35, 391,142,164,718.16 and 260,761,443,145.35 is: 391,142,164,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,443,145.35 : 391,142,164,718.16 = 260,761,443,145.35 : x
  2. Step 2: Convert to fraction form
    260,761,443,145.35/391,142,164,718.16 = 260,761,443,145.35/x
  3. Step 3: Cross multiply
    260,761,443,145.35x = 391,142,164,718.16 × 260,761,443,145.35
  4. Step 4: Simplify right side
    260,761,443,145.35x = 101,994,795,346,903,605,182,464
  5. Step 5: Solve for x
    x = 101,994,795,346,903,605,182,464/260,761,443,145.35
  6. Step 6: Final answer
    x = 391,142,164,718.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.