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Finding the Fourth Proportional to 36,745,184,269.60, 55,117,776,404.40 and 36,745,184,269.60

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Solution

The fourth proportional to 36,745,184,269.60, 55,117,776,404.40 and 36,745,184,269.60 is: 55,117,776,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,745,184,269.60 : 55,117,776,404.40 = 36,745,184,269.60 : x
  2. Step 2: Convert to fraction form
    36,745,184,269.60/55,117,776,404.40 = 36,745,184,269.60/x
  3. Step 3: Cross multiply
    36,745,184,269.60x = 55,117,776,404.40 × 36,745,184,269.60
  4. Step 4: Simplify right side
    36,745,184,269.60x = 2,025,312,850,510,288,781,312
  5. Step 5: Solve for x
    x = 2,025,312,850,510,288,781,312/36,745,184,269.60
  6. Step 6: Final answer
    x = 55,117,776,404.40

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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.