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Finding the Fourth Proportional to 314,613,532.33, 471,921,791.13 and 96,263,526.14

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Solution

The fourth proportional to 314,613,532.33, 471,921,791.13 and 96,263,526.14 is: 144,395,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,613,532.33 : 471,921,791.13 = 96,263,526.14 : x
  2. Step 2: Convert to fraction form
    314,613,532.33/471,921,791.13 = 96,263,526.14/x
  3. Step 3: Cross multiply
    314,613,532.33x = 471,921,791.13 × 96,263,526.14
  4. Step 4: Simplify right side
    314,613,532.33x = 45,428,855,678,273,496
  5. Step 5: Solve for x
    x = 45,428,855,678,273,496/314,613,532.33
  6. Step 6: Final answer
    x = 144,395,745.92

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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.