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Finding the Fourth Proportional to 260,761,248,051.30, 391,141,872,076.95 and 260,761,248,051.30

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Solution

The fourth proportional to 260,761,248,051.30, 391,141,872,076.95 and 260,761,248,051.30 is: 391,141,872,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,248,051.30 : 391,141,872,076.95 = 260,761,248,051.30 : x
  2. Step 2: Convert to fraction form
    260,761,248,051.30/391,141,872,076.95 = 260,761,248,051.30/x
  3. Step 3: Cross multiply
    260,761,248,051.30x = 391,141,872,076.95 × 260,761,248,051.30
  4. Step 4: Simplify right side
    260,761,248,051.30x = 101,994,642,727,907,413,196,800
  5. Step 5: Solve for x
    x = 101,994,642,727,907,413,196,800/260,761,248,051.30
  6. Step 6: Final answer
    x = 391,141,872,076.95

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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.