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Finding the Fourth Proportional to 950,941,657.30, 1,328,597,342.30 and 950,941,657.30

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Solution

The fourth proportional to 950,941,657.30, 1,328,597,342.30 and 950,941,657.30 is: 1,328,597,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,941,657.30 : 1,328,597,342.30 = 950,941,657.30 : x
  2. Step 2: Convert to fraction form
    950,941,657.30/1,328,597,342.30 = 950,941,657.30/x
  3. Step 3: Cross multiply
    950,941,657.30x = 1,328,597,342.30 × 950,941,657.30
  4. Step 4: Simplify right side
    950,941,657.30x = 1,263,418,558,571,137,280
  5. Step 5: Solve for x
    x = 1,263,418,558,571,137,280/950,941,657.30
  6. Step 6: Final answer
    x = 1,328,597,342.30

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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.