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Finding the Fourth Proportional to 15,261,708,673.15, 22,892,563,009.73 and 15,261,708,673.15

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Solution

The fourth proportional to 15,261,708,673.15, 22,892,563,009.73 and 15,261,708,673.15 is: 22,892,563,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261,708,673.15 : 22,892,563,009.73 = 15,261,708,673.15 : x
  2. Step 2: Convert to fraction form
    15,261,708,673.15/22,892,563,009.73 = 15,261,708,673.15/x
  3. Step 3: Cross multiply
    15,261,708,673.15x = 22,892,563,009.73 × 15,261,708,673.15
  4. Step 4: Simplify right side
    15,261,708,673.15x = 349,379,627,436,229,197,824
  5. Step 5: Solve for x
    x = 349,379,627,436,229,197,824/15,261,708,673.15
  6. Step 6: Final answer
    x = 22,892,563,009.73

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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.