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Finding the Fourth Proportional to 945,691,406.40, 1,418,537,109.60 and 853,858,401.60

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Solution

The fourth proportional to 945,691,406.40, 1,418,537,109.60 and 853,858,401.60 is: 1,280,787,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,691,406.40 : 1,418,537,109.60 = 853,858,401.60 : x
  2. Step 2: Convert to fraction form
    945,691,406.40/1,418,537,109.60 = 853,858,401.60/x
  3. Step 3: Cross multiply
    945,691,406.40x = 1,418,537,109.60 × 853,858,401.60
  4. Step 4: Simplify right side
    945,691,406.40x = 1,211,229,829,013,339,904
  5. Step 5: Solve for x
    x = 1,211,229,829,013,339,904/945,691,406.40
  6. Step 6: Final answer
    x = 1,280,787,602.40

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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.