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Finding the Fourth Proportional to 52,932,376,644.70, 74,291,289,137.30 and 52,932,376,644.70

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Solution

The fourth proportional to 52,932,376,644.70, 74,291,289,137.30 and 52,932,376,644.70 is: 74,291,289,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,932,376,644.70 : 74,291,289,137.30 = 52,932,376,644.70 : x
  2. Step 2: Convert to fraction form
    52,932,376,644.70/74,291,289,137.30 = 52,932,376,644.70/x
  3. Step 3: Cross multiply
    52,932,376,644.70x = 74,291,289,137.30 × 52,932,376,644.70
  4. Step 4: Simplify right side
    52,932,376,644.70x = 3,932,414,498,035,873,087,488
  5. Step 5: Solve for x
    x = 3,932,414,498,035,873,087,488/52,932,376,644.70
  6. Step 6: Final answer
    x = 74,291,289,137.30

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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.