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Finding the Fourth Proportional to 804,819,113.40, 1,207,228,670.10 and 804,819,113.40

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Solution

The fourth proportional to 804,819,113.40, 1,207,228,670.10 and 804,819,113.40 is: 1,207,228,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,819,113.40 : 1,207,228,670.10 = 804,819,113.40 : x
  2. Step 2: Convert to fraction form
    804,819,113.40/1,207,228,670.10 = 804,819,113.40/x
  3. Step 3: Cross multiply
    804,819,113.40x = 1,207,228,670.10 × 804,819,113.40
  4. Step 4: Simplify right side
    804,819,113.40x = 971,600,707,940,942,976
  5. Step 5: Solve for x
    x = 971,600,707,940,942,976/804,819,113.40
  6. Step 6: Final answer
    x = 1,207,228,670.10

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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.