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Finding the Fourth Proportional to 1,902,312,000.20, 2,853,468,000.30 and 869,190,696.20

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Solution

The fourth proportional to 1,902,312,000.20, 2,853,468,000.30 and 869,190,696.20 is: 1,303,786,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,312,000.20 : 2,853,468,000.30 = 869,190,696.20 : x
  2. Step 2: Convert to fraction form
    1,902,312,000.20/2,853,468,000.30 = 869,190,696.20/x
  3. Step 3: Cross multiply
    1,902,312,000.20x = 2,853,468,000.30 × 869,190,696.20
  4. Step 4: Simplify right side
    1,902,312,000.20x = 2,480,207,837,765,178,880
  5. Step 5: Solve for x
    x = 2,480,207,837,765,178,880/1,902,312,000.20
  6. Step 6: Final answer
    x = 1,303,786,044.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.