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Finding the Fourth Proportional to 6,205,487,778,906.40, 9,308,231,668,359.40 and 6,205,487,778,906.40

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Solution

The fourth proportional to 6,205,487,778,906.40, 9,308,231,668,359.40 and 6,205,487,778,906.40 is: 9,308,231,668,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,487,778,906.40 : 9,308,231,668,359.40 = 6,205,487,778,906.40 : x
  2. Step 2: Convert to fraction form
    6,205,487,778,906.40/9,308,231,668,359.40 = 6,205,487,778,906.40/x
  3. Step 3: Cross multiply
    6,205,487,778,906.40x = 9,308,231,668,359.40 × 6,205,487,778,906.40
  4. Step 4: Simplify right side
    6,205,487,778,906.40x = 57,762,117,861,233,795,713,204,224
  5. Step 5: Solve for x
    x = 57,762,117,861,233,795,713,204,224/6,205,487,778,906.40
  6. Step 6: Final answer
    x = 9,308,231,668,359.40

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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.