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Finding the Fourth Proportional to 431,210,266,301.70, 646,815,399,452.55 and 431,210,266,301.70

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Solution

The fourth proportional to 431,210,266,301.70, 646,815,399,452.55 and 431,210,266,301.70 is: 646,815,399,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,210,266,301.70 : 646,815,399,452.55 = 431,210,266,301.70 : x
  2. Step 2: Convert to fraction form
    431,210,266,301.70/646,815,399,452.55 = 431,210,266,301.70/x
  3. Step 3: Cross multiply
    431,210,266,301.70x = 646,815,399,452.55 × 431,210,266,301.70
  4. Step 4: Simplify right side
    431,210,266,301.70x = 278,913,440,645,974,581,051,392
  5. Step 5: Solve for x
    x = 278,913,440,645,974,581,051,392/431,210,266,301.70
  6. Step 6: Final answer
    x = 646,815,399,452.55

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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.