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Finding the Fourth Proportional to 838,969,245,005.40, 1,258,453,867,508.10 and 838,969,245,005.40

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Solution

The fourth proportional to 838,969,245,005.40, 1,258,453,867,508.10 and 838,969,245,005.40 is: 1,258,453,867,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,969,245,005.40 : 1,258,453,867,508.10 = 838,969,245,005.40 : x
  2. Step 2: Convert to fraction form
    838,969,245,005.40/1,258,453,867,508.10 = 838,969,245,005.40/x
  3. Step 3: Cross multiply
    838,969,245,005.40x = 1,258,453,867,508.10 × 838,969,245,005.40
  4. Step 4: Simplify right side
    838,969,245,005.40x = 1,055,804,091,097,396,470,087,680
  5. Step 5: Solve for x
    x = 1,055,804,091,097,396,470,087,680/838,969,245,005.40
  6. Step 6: Final answer
    x = 1,258,453,867,508.10

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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.