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Finding the Fourth Proportional to 902,806,498.80, 1,354,209,748.20 and 902,806,498.80

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Solution

The fourth proportional to 902,806,498.80, 1,354,209,748.20 and 902,806,498.80 is: 1,354,209,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,806,498.80 : 1,354,209,748.20 = 902,806,498.80 : x
  2. Step 2: Convert to fraction form
    902,806,498.80/1,354,209,748.20 = 902,806,498.80/x
  3. Step 3: Cross multiply
    902,806,498.80x = 1,354,209,748.20 × 902,806,498.80
  4. Step 4: Simplify right side
    902,806,498.80x = 1,222,589,361,413,271,552
  5. Step 5: Solve for x
    x = 1,222,589,361,413,271,552/902,806,498.80
  6. Step 6: Final answer
    x = 1,354,209,748.20

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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.