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Finding the Fourth Proportional to 5,146,503,670.90, 7,719,755,506.35 and 5,146,503,670.90

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Solution

The fourth proportional to 5,146,503,670.90, 7,719,755,506.35 and 5,146,503,670.90 is: 7,719,755,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,503,670.90 : 7,719,755,506.35 = 5,146,503,670.90 : x
  2. Step 2: Convert to fraction form
    5,146,503,670.90/7,719,755,506.35 = 5,146,503,670.90/x
  3. Step 3: Cross multiply
    5,146,503,670.90x = 7,719,755,506.35 × 5,146,503,670.90
  4. Step 4: Simplify right side
    5,146,503,670.90x = 39,729,750,051,880,763,392
  5. Step 5: Solve for x
    x = 39,729,750,051,880,763,392/5,146,503,670.90
  6. Step 6: Final answer
    x = 7,719,755,506.35

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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.