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Finding the Fourth Proportional to 1,333,123,434.60, 1,861,781,158.20 and 1,333,123,434.60

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Solution

The fourth proportional to 1,333,123,434.60, 1,861,781,158.20 and 1,333,123,434.60 is: 1,861,781,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,123,434.60 : 1,861,781,158.20 = 1,333,123,434.60 : x
  2. Step 2: Convert to fraction form
    1,333,123,434.60/1,861,781,158.20 = 1,333,123,434.60/x
  3. Step 3: Cross multiply
    1,333,123,434.60x = 1,861,781,158.20 × 1,333,123,434.60
  4. Step 4: Simplify right side
    1,333,123,434.60x = 2,481,984,092,093,149,696
  5. Step 5: Solve for x
    x = 2,481,984,092,093,149,696/1,333,123,434.60
  6. Step 6: Final answer
    x = 1,861,781,158.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.