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Finding the Fourth Proportional to 202,078,889.10, 303,118,333.65 and 202,078,889.10

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Solution

The fourth proportional to 202,078,889.10, 303,118,333.65 and 202,078,889.10 is: 303,118,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078,889.10 : 303,118,333.65 = 202,078,889.10 : x
  2. Step 2: Convert to fraction form
    202,078,889.10/303,118,333.65 = 202,078,889.10/x
  3. Step 3: Cross multiply
    202,078,889.10x = 303,118,333.65 × 202,078,889.10
  4. Step 4: Simplify right side
    202,078,889.10x = 61,253,816,129,835,144
  5. Step 5: Solve for x
    x = 61,253,816,129,835,144/202,078,889.10
  6. Step 6: Final answer
    x = 303,118,333.65

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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.