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Finding the Fourth Proportional to 436,608,998.70, 654,913,498.05 and 436,608,998.70

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Solution

The fourth proportional to 436,608,998.70, 654,913,498.05 and 436,608,998.70 is: 654,913,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,608,998.70 : 654,913,498.05 = 436,608,998.70 : x
  2. Step 2: Convert to fraction form
    436,608,998.70/654,913,498.05 = 436,608,998.70/x
  3. Step 3: Cross multiply
    436,608,998.70x = 654,913,498.05 × 436,608,998.70
  4. Step 4: Simplify right side
    436,608,998.70x = 285,941,126,618,724,864
  5. Step 5: Solve for x
    x = 285,941,126,618,724,864/436,608,998.70
  6. Step 6: Final answer
    x = 654,913,498.05

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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.