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Finding the Fourth Proportional to 501,613,888,093.55, 752,420,832,140.40 and 501,613,888,093.55

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Solution

The fourth proportional to 501,613,888,093.55, 752,420,832,140.40 and 501,613,888,093.55 is: 752,420,832,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,613,888,093.55 : 752,420,832,140.40 = 501,613,888,093.55 : x
  2. Step 2: Convert to fraction form
    501,613,888,093.55/752,420,832,140.40 = 501,613,888,093.55/x
  3. Step 3: Cross multiply
    501,613,888,093.55x = 752,420,832,140.40 × 501,613,888,093.55
  4. Step 4: Simplify right side
    501,613,888,093.55x = 377,424,739,092,530,368,348,160
  5. Step 5: Solve for x
    x = 377,424,739,092,530,368,348,160/501,613,888,093.55
  6. Step 6: Final answer
    x = 752,420,832,140.40

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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.