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Finding the Fourth Proportional to 9,618,428,721.20, 14,404,684,830.60 and 9,618,428,721.20

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Solution

The fourth proportional to 9,618,428,721.20, 14,404,684,830.60 and 9,618,428,721.20 is: 14,404,684,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618,428,721.20 : 14,404,684,830.60 = 9,618,428,721.20 : x
  2. Step 2: Convert to fraction form
    9,618,428,721.20/14,404,684,830.60 = 9,618,428,721.20/x
  3. Step 3: Cross multiply
    9,618,428,721.20x = 14,404,684,830.60 × 9,618,428,721.20
  4. Step 4: Simplify right side
    9,618,428,721.20x = 138,550,434,294,477,012,992
  5. Step 5: Solve for x
    x = 138,550,434,294,477,012,992/9,618,428,721.20
  6. Step 6: Final answer
    x = 14,404,684,830.60

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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.