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Finding the Fourth Proportional to 103,615,725.15, 145,274,351.85 and 103,615,725.15

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Solution

The fourth proportional to 103,615,725.15, 145,274,351.85 and 103,615,725.15 is: 145,274,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615,725.15 : 145,274,351.85 = 103,615,725.15 : x
  2. Step 2: Convert to fraction form
    103,615,725.15/145,274,351.85 = 103,615,725.15/x
  3. Step 3: Cross multiply
    103,615,725.15x = 145,274,351.85 × 103,615,725.15
  4. Step 4: Simplify right side
    103,615,725.15x = 15,052,707,312,633,994
  5. Step 5: Solve for x
    x = 15,052,707,312,633,994/103,615,725.15
  6. Step 6: Final answer
    x = 145,274,351.85

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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.