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Finding the Fourth Proportional to 260,761,457,260.30, 391,142,185,890.45 and 260,761,457,260.30

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Solution

The fourth proportional to 260,761,457,260.30, 391,142,185,890.45 and 260,761,457,260.30 is: 391,142,185,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,457,260.30 : 391,142,185,890.45 = 260,761,457,260.30 : x
  2. Step 2: Convert to fraction form
    260,761,457,260.30/391,142,185,890.45 = 260,761,457,260.30/x
  3. Step 3: Cross multiply
    260,761,457,260.30x = 391,142,185,890.45 × 260,761,457,260.30
  4. Step 4: Simplify right side
    260,761,457,260.30x = 101,994,806,388,772,900,438,016
  5. Step 5: Solve for x
    x = 101,994,806,388,772,900,438,016/260,761,457,260.30
  6. Step 6: Final answer
    x = 391,142,185,890.45

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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.