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Finding the Fourth Proportional to 7,380,998.70, 11,071,498.05 and 7,380,998.70

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Solution

The fourth proportional to 7,380,998.70, 11,071,498.05 and 7,380,998.70 is: 11,071,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380,998.70 : 11,071,498.05 = 7,380,998.70 : x
  2. Step 2: Convert to fraction form
    7,380,998.70/11,071,498.05 = 7,380,998.70/x
  3. Step 3: Cross multiply
    7,380,998.70x = 11,071,498.05 × 7,380,998.70
  4. Step 4: Simplify right side
    7,380,998.70x = 81,718,712,714,102.55
  5. Step 5: Solve for x
    x = 81,718,712,714,102.55/7,380,998.70
  6. Step 6: Final answer
    x = 11,071,498.05

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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.