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Finding the Fourth Proportional to 147,250,731,053.40, 220,876,096,580.10 and 147,250,731,053.40

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Solution

The fourth proportional to 147,250,731,053.40, 220,876,096,580.10 and 147,250,731,053.40 is: 220,876,096,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,250,731,053.40 : 220,876,096,580.10 = 147,250,731,053.40 : x
  2. Step 2: Convert to fraction form
    147,250,731,053.40/220,876,096,580.10 = 147,250,731,053.40/x
  3. Step 3: Cross multiply
    147,250,731,053.40x = 220,876,096,580.10 × 147,250,731,053.40
  4. Step 4: Simplify right side
    147,250,731,053.40x = 32,524,166,693,641,108,062,208
  5. Step 5: Solve for x
    x = 32,524,166,693,641,108,062,208/147,250,731,053.40
  6. Step 6: Final answer
    x = 220,876,096,580.10

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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.