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Finding the Fourth Proportional to 6,438,546,670.40, 9,657,820,005.60 and 6,438,546,670.40

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Solution

The fourth proportional to 6,438,546,670.40, 9,657,820,005.60 and 6,438,546,670.40 is: 9,657,820,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,546,670.40 : 9,657,820,005.60 = 6,438,546,670.40 : x
  2. Step 2: Convert to fraction form
    6,438,546,670.40/9,657,820,005.60 = 6,438,546,670.40/x
  3. Step 3: Cross multiply
    6,438,546,670.40x = 9,657,820,005.60 × 6,438,546,670.40
  4. Step 4: Simplify right side
    6,438,546,670.40x = 62,182,324,840,378,384,384
  5. Step 5: Solve for x
    x = 62,182,324,840,378,384,384/6,438,546,670.40
  6. Step 6: Final answer
    x = 9,657,820,005.60

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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.