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Finding the Fourth Proportional to 260,761,464,004.06, 391,142,196,006.06 and 260,761,464,004.06

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Solution

The fourth proportional to 260,761,464,004.06, 391,142,196,006.06 and 260,761,464,004.06 is: 391,142,196,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,761,464,004.06 : 391,142,196,006.06 = 260,761,464,004.06 : x
  2. Step 2: Convert to fraction form
    260,761,464,004.06/391,142,196,006.06 = 260,761,464,004.06/x
  3. Step 3: Cross multiply
    260,761,464,004.06x = 391,142,196,006.06 × 260,761,464,004.06
  4. Step 4: Simplify right side
    260,761,464,004.06x = 101,994,811,664,303,191,490,560
  5. Step 5: Solve for x
    x = 101,994,811,664,303,191,490,560/260,761,464,004.06
  6. Step 6: Final answer
    x = 391,142,196,006.06

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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.