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Finding the Fourth Proportional to 465,282,416,914.08, 698,135,685,978.24 and 238,800,913,908

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Solution

The fourth proportional to 465,282,416,914.08, 698,135,685,978.24 and 238,800,913,908 is: 358,310,208,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,282,416,914.08 : 698,135,685,978.24 = 238,800,913,908 : x
  2. Step 2: Convert to fraction form
    465,282,416,914.08/698,135,685,978.24 = 238,800,913,908/x
  3. Step 3: Cross multiply
    465,282,416,914.08x = 698,135,685,978.24 × 238,800,913,908
  4. Step 4: Simplify right side
    465,282,416,914.08x = 166,715,439,843,392,217,939,968
  5. Step 5: Solve for x
    x = 166,715,439,843,392,217,939,968/465,282,416,914.08
  6. Step 6: Final answer
    x = 358,310,208,559.16

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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.