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Finding the Fourth Proportional to 602,084,899.80, 903,023,219.30 and 159,433,946.80

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Solution

The fourth proportional to 602,084,899.80, 903,023,219.30 and 159,433,946.80 is: 239,123,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,084,899.80 : 903,023,219.30 = 159,433,946.80 : x
  2. Step 2: Convert to fraction form
    602,084,899.80/903,023,219.30 = 159,433,946.80/x
  3. Step 3: Cross multiply
    602,084,899.80x = 903,023,219.30 × 159,433,946.80
  4. Step 4: Simplify right side
    602,084,899.80x = 143,972,555,905,040,944
  5. Step 5: Solve for x
    x = 143,972,555,905,040,944/602,084,899.80
  6. Step 6: Final answer
    x = 239,123,346.15

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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.