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Finding the Fourth Proportional to 645,858,278,999.90, 968,787,418,499.80 and 645,858,278,999.90

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Solution

The fourth proportional to 645,858,278,999.90, 968,787,418,499.80 and 645,858,278,999.90 is: 968,787,418,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,858,278,999.90 : 968,787,418,499.80 = 645,858,278,999.90 : x
  2. Step 2: Convert to fraction form
    645,858,278,999.90/968,787,418,499.80 = 645,858,278,999.90/x
  3. Step 3: Cross multiply
    645,858,278,999.90x = 968,787,418,499.80 × 645,858,278,999.90
  4. Step 4: Simplify right side
    645,858,278,999.90x = 625,699,374,829,036,789,301,248
  5. Step 5: Solve for x
    x = 625,699,374,829,036,789,301,248/645,858,278,999.90
  6. Step 6: Final answer
    x = 968,787,418,499.80

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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.