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Finding the Fourth Proportional to 9,627,336,064.20, 14,418,045,845.10 and 9,627,336,064.20

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Solution

The fourth proportional to 9,627,336,064.20, 14,418,045,845.10 and 9,627,336,064.20 is: 14,418,045,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627,336,064.20 : 14,418,045,845.10 = 9,627,336,064.20 : x
  2. Step 2: Convert to fraction form
    9,627,336,064.20/14,418,045,845.10 = 9,627,336,064.20/x
  3. Step 3: Cross multiply
    9,627,336,064.20x = 14,418,045,845.10 × 9,627,336,064.20
  4. Step 4: Simplify right side
    9,627,336,064.20x = 138,807,372,739,820,208,128
  5. Step 5: Solve for x
    x = 138,807,372,739,820,208,128/9,627,336,064.20
  6. Step 6: Final answer
    x = 14,418,045,845.10

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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.