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Finding the Fourth Proportional to 55,207,353,602.70, 82,811,030,404.05 and 55,207,353,602.70

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Solution

The fourth proportional to 55,207,353,602.70, 82,811,030,404.05 and 55,207,353,602.70 is: 82,811,030,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207,353,602.70 : 82,811,030,404.05 = 55,207,353,602.70 : x
  2. Step 2: Convert to fraction form
    55,207,353,602.70/82,811,030,404.05 = 55,207,353,602.70/x
  3. Step 3: Cross multiply
    55,207,353,602.70x = 82,811,030,404.05 × 55,207,353,602.70
  4. Step 4: Simplify right side
    55,207,353,602.70x = 4,571,777,837,720,328,994,816
  5. Step 5: Solve for x
    x = 4,571,777,837,720,328,994,816/55,207,353,602.70
  6. Step 6: Final answer
    x = 82,811,030,404.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.