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Finding the Fourth Proportional to 501,613,888,082.55, 752,420,832,123.80 and 501,613,888,082.55

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Solution

The fourth proportional to 501,613,888,082.55, 752,420,832,123.80 and 501,613,888,082.55 is: 752,420,832,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,613,888,082.55 : 752,420,832,123.80 = 501,613,888,082.55 : x
  2. Step 2: Convert to fraction form
    501,613,888,082.55/752,420,832,123.80 = 501,613,888,082.55/x
  3. Step 3: Cross multiply
    501,613,888,082.55x = 752,420,832,123.80 × 501,613,888,082.55
  4. Step 4: Simplify right side
    501,613,888,082.55x = 377,424,739,075,926,964,305,920
  5. Step 5: Solve for x
    x = 377,424,739,075,926,964,305,920/501,613,888,082.55
  6. Step 6: Final answer
    x = 752,420,832,123.80

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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.