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Finding the Fourth Proportional to 902,806,464.30, 1,354,209,696.45 and 902,806,464.30

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Solution

The fourth proportional to 902,806,464.30, 1,354,209,696.45 and 902,806,464.30 is: 1,354,209,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,806,464.30 : 1,354,209,696.45 = 902,806,464.30 : x
  2. Step 2: Convert to fraction form
    902,806,464.30/1,354,209,696.45 = 902,806,464.30/x
  3. Step 3: Cross multiply
    902,806,464.30x = 1,354,209,696.45 × 902,806,464.30
  4. Step 4: Simplify right side
    902,806,464.30x = 1,222,589,267,972,800,768
  5. Step 5: Solve for x
    x = 1,222,589,267,972,800,768/902,806,464.30
  6. Step 6: Final answer
    x = 1,354,209,696.45

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1.5x scale

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.