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Finding the Fourth Proportional to 857,752,015.20, 1,286,628,022.80 and 714,900,674.40

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Solution

The fourth proportional to 857,752,015.20, 1,286,628,022.80 and 714,900,674.40 is: 1,072,351,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,752,015.20 : 1,286,628,022.80 = 714,900,674.40 : x
  2. Step 2: Convert to fraction form
    857,752,015.20/1,286,628,022.80 = 714,900,674.40/x
  3. Step 3: Cross multiply
    857,752,015.20x = 1,286,628,022.80 × 714,900,674.40
  4. Step 4: Simplify right side
    857,752,015.20x = 919,811,241,201,658,496
  5. Step 5: Solve for x
    x = 919,811,241,201,658,496/857,752,015.20
  6. Step 6: Final answer
    x = 1,072,351,011.60

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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.