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Finding the Fourth Proportional to 55,847,688,003.90, 83,771,532,005.85 and 55,847,688,003.90

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Solution

The fourth proportional to 55,847,688,003.90, 83,771,532,005.85 and 55,847,688,003.90 is: 83,771,532,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847,688,003.90 : 83,771,532,005.85 = 55,847,688,003.90 : x
  2. Step 2: Convert to fraction form
    55,847,688,003.90/83,771,532,005.85 = 55,847,688,003.90/x
  3. Step 3: Cross multiply
    55,847,688,003.90x = 83,771,532,005.85 × 55,847,688,003.90
  4. Step 4: Simplify right side
    55,847,688,003.90x = 4,678,446,383,071,434,375,168
  5. Step 5: Solve for x
    x = 4,678,446,383,071,434,375,168/55,847,688,003.90
  6. Step 6: Final answer
    x = 83,771,532,005.85

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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.