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Finding the Fourth Proportional to 838,973,659,500.40, 1,258,460,489,250.40 and 838,973,659,500.40

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Solution

The fourth proportional to 838,973,659,500.40, 1,258,460,489,250.40 and 838,973,659,500.40 is: 1,258,460,489,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,973,659,500.40 : 1,258,460,489,250.40 = 838,973,659,500.40 : x
  2. Step 2: Convert to fraction form
    838,973,659,500.40/1,258,460,489,250.40 = 838,973,659,500.40/x
  3. Step 3: Cross multiply
    838,973,659,500.40x = 1,258,460,489,250.40 × 838,973,659,500.40
  4. Step 4: Simplify right side
    838,973,659,500.40x = 1,055,815,202,003,071,818,268,672
  5. Step 5: Solve for x
    x = 1,055,815,202,003,071,818,268,672/838,973,659,500.40
  6. Step 6: Final answer
    x = 1,258,460,489,250.40

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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.