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Finding the Fourth Proportional to 838,969,344,042.90, 1,258,454,016,064.40 and 838,969,344,042.90

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Solution

The fourth proportional to 838,969,344,042.90, 1,258,454,016,064.40 and 838,969,344,042.90 is: 1,258,454,016,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,969,344,042.90 : 1,258,454,016,064.40 = 838,969,344,042.90 : x
  2. Step 2: Convert to fraction form
    838,969,344,042.90/1,258,454,016,064.40 = 838,969,344,042.90/x
  3. Step 3: Cross multiply
    838,969,344,042.90x = 1,258,454,016,064.40 × 838,969,344,042.90
  4. Step 4: Simplify right side
    838,969,344,042.90x = 1,055,804,340,365,702,723,534,848
  5. Step 5: Solve for x
    x = 1,055,804,340,365,702,723,534,848/838,969,344,042.90
  6. Step 6: Final answer
    x = 1,258,454,016,064.40

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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.