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Finding the Fourth Proportional to 838,973,659,501.02, 1,258,460,489,251.50 and 838,973,659,501.02

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Solution

The fourth proportional to 838,973,659,501.02, 1,258,460,489,251.50 and 838,973,659,501.02 is: 1,258,460,489,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,973,659,501.02 : 1,258,460,489,251.50 = 838,973,659,501.02 : x
  2. Step 2: Convert to fraction form
    838,973,659,501.02/1,258,460,489,251.50 = 838,973,659,501.02/x
  3. Step 3: Cross multiply
    838,973,659,501.02x = 1,258,460,489,251.50 × 838,973,659,501.02
  4. Step 4: Simplify right side
    838,973,659,501.02x = 1,055,815,202,004,775,041,236,992
  5. Step 5: Solve for x
    x = 1,055,815,202,004,775,041,236,992/838,973,659,501.02
  6. Step 6: Final answer
    x = 1,258,460,489,251.50

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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.