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Finding the Fourth Proportional to 956,791,240.40, 1,340,414,729.20 and 956,791,240.40

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Solution

The fourth proportional to 956,791,240.40, 1,340,414,729.20 and 956,791,240.40 is: 1,340,414,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,791,240.40 : 1,340,414,729.20 = 956,791,240.40 : x
  2. Step 2: Convert to fraction form
    956,791,240.40/1,340,414,729.20 = 956,791,240.40/x
  3. Step 3: Cross multiply
    956,791,240.40x = 1,340,414,729.20 × 956,791,240.40
  4. Step 4: Simplify right side
    956,791,240.40x = 1,282,497,071,401,698,048
  5. Step 5: Solve for x
    x = 1,282,497,071,401,698,048/956,791,240.40
  6. Step 6: Final answer
    x = 1,340,414,729.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.