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Finding the Fourth Proportional to 797,311,208.40, 1,195,966,812.78 and 797,311,208.40

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Solution

The fourth proportional to 797,311,208.40, 1,195,966,812.78 and 797,311,208.40 is: 1,195,966,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,311,208.40 : 1,195,966,812.78 = 797,311,208.40 : x
  2. Step 2: Convert to fraction form
    797,311,208.40/1,195,966,812.78 = 797,311,208.40/x
  3. Step 3: Cross multiply
    797,311,208.40x = 1,195,966,812.78 × 797,311,208.40
  4. Step 4: Simplify right side
    797,311,208.40x = 953,557,744,703,918,336
  5. Step 5: Solve for x
    x = 953,557,744,703,918,336/797,311,208.40
  6. Step 6: Final answer
    x = 1,195,966,812.78

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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.