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Finding the Fourth Proportional to 54,905,688,330.80, 82,358,532,496.20 and 54,905,688,330.80

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Solution

The fourth proportional to 54,905,688,330.80, 82,358,532,496.20 and 54,905,688,330.80 is: 82,358,532,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905,688,330.80 : 82,358,532,496.20 = 54,905,688,330.80 : x
  2. Step 2: Convert to fraction form
    54,905,688,330.80/82,358,532,496.20 = 54,905,688,330.80/x
  3. Step 3: Cross multiply
    54,905,688,330.80x = 82,358,532,496.20 × 54,905,688,330.80
  4. Step 4: Simplify right side
    54,905,688,330.80x = 4,521,951,916,618,420,846,592
  5. Step 5: Solve for x
    x = 4,521,951,916,618,420,846,592/54,905,688,330.80
  6. Step 6: Final answer
    x = 82,358,532,496.20

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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.