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Finding the Fourth Proportional to 473,300,462.40, 709,950,693.60 and 320,418,081.60

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Solution

The fourth proportional to 473,300,462.40, 709,950,693.60 and 320,418,081.60 is: 480,627,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,300,462.40 : 709,950,693.60 = 320,418,081.60 : x
  2. Step 2: Convert to fraction form
    473,300,462.40/709,950,693.60 = 320,418,081.60/x
  3. Step 3: Cross multiply
    473,300,462.40x = 709,950,693.60 × 320,418,081.60
  4. Step 4: Simplify right side
    473,300,462.40x = 227,481,039,273,901,408
  5. Step 5: Solve for x
    x = 227,481,039,273,901,408/473,300,462.40
  6. Step 6: Final answer
    x = 480,627,122.40

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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.