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Finding the Fourth Proportional to 6,205,487,778,905.30, 9,308,231,668,357.80 and 6,205,487,778,905.30

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Solution

The fourth proportional to 6,205,487,778,905.30, 9,308,231,668,357.80 and 6,205,487,778,905.30 is: 9,308,231,668,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,487,778,905.30 : 9,308,231,668,357.80 = 6,205,487,778,905.30 : x
  2. Step 2: Convert to fraction form
    6,205,487,778,905.30/9,308,231,668,357.80 = 6,205,487,778,905.30/x
  3. Step 3: Cross multiply
    6,205,487,778,905.30x = 9,308,231,668,357.80 × 6,205,487,778,905.30
  4. Step 4: Simplify right side
    6,205,487,778,905.30x = 57,762,117,861,213,626,546,782,208
  5. Step 5: Solve for x
    x = 57,762,117,861,213,626,546,782,208/6,205,487,778,905.30
  6. Step 6: Final answer
    x = 9,308,231,668,357.80

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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.