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Finding the Fourth Proportional to 21,265,468,710.15, 31,898,203,065.23 and 21,265,468,710.15

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Solution

The fourth proportional to 21,265,468,710.15, 31,898,203,065.23 and 21,265,468,710.15 is: 31,898,203,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265,468,710.15 : 31,898,203,065.23 = 21,265,468,710.15 : x
  2. Step 2: Convert to fraction form
    21,265,468,710.15/31,898,203,065.23 = 21,265,468,710.15/x
  3. Step 3: Cross multiply
    21,265,468,710.15x = 31,898,203,065.23 × 21,265,468,710.15
  4. Step 4: Simplify right side
    21,265,468,710.15x = 678,330,239,193,553,043,456
  5. Step 5: Solve for x
    x = 678,330,239,193,553,043,456/21,265,468,710.15
  6. Step 6: Final answer
    x = 31,898,203,065.23

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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.