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Finding the Fourth Proportional to 55,207,853.40, 82,811,780.10 and 55,207,853.40

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Solution

The fourth proportional to 55,207,853.40, 82,811,780.10 and 55,207,853.40 is: 82,811,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207,853.40 : 82,811,780.10 = 55,207,853.40 : x
  2. Step 2: Convert to fraction form
    55,207,853.40/82,811,780.10 = 55,207,853.40/x
  3. Step 3: Cross multiply
    55,207,853.40x = 82,811,780.10 × 55,207,853.40
  4. Step 4: Simplify right side
    55,207,853.40x = 4,571,860,615,553,837
  5. Step 5: Solve for x
    x = 4,571,860,615,553,837/55,207,853.40
  6. Step 6: Final answer
    x = 82,811,780.10

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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.