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Finding the Fourth Proportional to 57,970,147,509.70, 86,955,221,264.55 and 57,970,147,509.70

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Solution

The fourth proportional to 57,970,147,509.70, 86,955,221,264.55 and 57,970,147,509.70 is: 86,955,221,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970,147,509.70 : 86,955,221,264.55 = 57,970,147,509.70 : x
  2. Step 2: Convert to fraction form
    57,970,147,509.70/86,955,221,264.55 = 57,970,147,509.70/x
  3. Step 3: Cross multiply
    57,970,147,509.70x = 86,955,221,264.55 × 57,970,147,509.70
  4. Step 4: Simplify right side
    57,970,147,509.70x = 5,040,807,003,444,566,032,384
  5. Step 5: Solve for x
    x = 5,040,807,003,444,566,032,384/57,970,147,509.70
  6. Step 6: Final answer
    x = 86,955,221,264.55

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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.