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Finding the Fourth Proportional to 57,946,987,368.30, 86,920,481,052.51 and 57,946,987,368.30

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Solution

The fourth proportional to 57,946,987,368.30, 86,920,481,052.51 and 57,946,987,368.30 is: 86,920,481,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946,987,368.30 : 86,920,481,052.51 = 57,946,987,368.30 : x
  2. Step 2: Convert to fraction form
    57,946,987,368.30/86,920,481,052.51 = 57,946,987,368.30/x
  3. Step 3: Cross multiply
    57,946,987,368.30x = 86,920,481,052.51 × 57,946,987,368.30
  4. Step 4: Simplify right side
    57,946,987,368.30x = 5,036,780,017,596,356,362,240
  5. Step 5: Solve for x
    x = 5,036,780,017,596,356,362,240/57,946,987,368.30
  6. Step 6: Final answer
    x = 86,920,481,052.51

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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.