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Finding the Fourth Proportional to 1,010,613,370.68, 1,516,064,662.53 and 311,164,687.89

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Solution

The fourth proportional to 1,010,613,370.68, 1,516,064,662.53 and 311,164,687.89 is: 466,791,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,613,370.68 : 1,516,064,662.53 = 311,164,687.89 : x
  2. Step 2: Convert to fraction form
    1,010,613,370.68/1,516,064,662.53 = 311,164,687.89/x
  3. Step 3: Cross multiply
    1,010,613,370.68x = 1,516,064,662.53 × 311,164,687.89
  4. Step 4: Simplify right side
    1,010,613,370.68x = 471,745,787,537,205,568
  5. Step 5: Solve for x
    x = 471,745,787,537,205,568/1,010,613,370.68
  6. Step 6: Final answer
    x = 466,791,555.73

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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.