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Finding the Fourth Proportional to 1,460,613,593.70, 2,015,013,375.75 and 966,264,813.54

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Solution

The fourth proportional to 1,460,613,593.70, 2,015,013,375.75 and 966,264,813.54 is: 1,333,026,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,613,593.70 : 2,015,013,375.75 = 966,264,813.54 : x
  2. Step 2: Convert to fraction form
    1,460,613,593.70/2,015,013,375.75 = 966,264,813.54/x
  3. Step 3: Cross multiply
    1,460,613,593.70x = 2,015,013,375.75 × 966,264,813.54
  4. Step 4: Simplify right side
    1,460,613,593.70x = 1,947,036,523,799,679,744
  5. Step 5: Solve for x
    x = 1,947,036,523,799,679,744/1,460,613,593.70
  6. Step 6: Final answer
    x = 1,333,026,429.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.