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Finding the Fourth Proportional to 260,761,444,281.60, 391,142,166,422.40 and 260,761,444,281.60

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Solution

The fourth proportional to 260,761,444,281.60, 391,142,166,422.40 and 260,761,444,281.60 is: 391,142,166,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,444,281.60 : 391,142,166,422.40 = 260,761,444,281.60 : x
  2. Step 2: Convert to fraction form
    260,761,444,281.60/391,142,166,422.40 = 260,761,444,281.60/x
  3. Step 3: Cross multiply
    260,761,444,281.60x = 391,142,166,422.40 × 260,761,444,281.60
  4. Step 4: Simplify right side
    260,761,444,281.60x = 101,994,796,235,738,983,694,336
  5. Step 5: Solve for x
    x = 101,994,796,235,738,983,694,336/260,761,444,281.60
  6. Step 6: Final answer
    x = 391,142,166,422.40

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1.5x scale

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.