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Finding the Fourth Proportional to 52,932,376,642.70, 74,291,289,134.50 and 52,932,376,642.70

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Solution

The fourth proportional to 52,932,376,642.70, 74,291,289,134.50 and 52,932,376,642.70 is: 74,291,289,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,932,376,642.70 : 74,291,289,134.50 = 52,932,376,642.70 : x
  2. Step 2: Convert to fraction form
    52,932,376,642.70/74,291,289,134.50 = 52,932,376,642.70/x
  3. Step 3: Cross multiply
    52,932,376,642.70x = 74,291,289,134.50 × 52,932,376,642.70
  4. Step 4: Simplify right side
    52,932,376,642.70x = 3,932,414,497,739,079,942,144
  5. Step 5: Solve for x
    x = 3,932,414,497,739,079,942,144/52,932,376,642.70
  6. Step 6: Final answer
    x = 74,291,289,134.50

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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.