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Finding the Fourth Proportional to 993,943,247,913.70, 1,490,914,871,870.50 and 993,943,247,913.70

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Solution

The fourth proportional to 993,943,247,913.70, 1,490,914,871,870.50 and 993,943,247,913.70 is: 1,490,914,871,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,943,247,913.70 : 1,490,914,871,870.50 = 993,943,247,913.70 : x
  2. Step 2: Convert to fraction form
    993,943,247,913.70/1,490,914,871,870.50 = 993,943,247,913.70/x
  3. Step 3: Cross multiply
    993,943,247,913.70x = 1,490,914,871,870.50 × 993,943,247,913.70
  4. Step 4: Simplify right side
    993,943,247,913.70x = 1,481,884,770,109,802,483,286,016
  5. Step 5: Solve for x
    x = 1,481,884,770,109,802,483,286,016/993,943,247,913.70
  6. Step 6: Final answer
    x = 1,490,914,871,870.50

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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.