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Finding the Fourth Proportional to 26,407,296,038.40, 39,610,944,057.60 and 26,407,296,038.40

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Solution

The fourth proportional to 26,407,296,038.40, 39,610,944,057.60 and 26,407,296,038.40 is: 39,610,944,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407,296,038.40 : 39,610,944,057.60 = 26,407,296,038.40 : x
  2. Step 2: Convert to fraction form
    26,407,296,038.40/39,610,944,057.60 = 26,407,296,038.40/x
  3. Step 3: Cross multiply
    26,407,296,038.40x = 39,610,944,057.60 × 26,407,296,038.40
  4. Step 4: Simplify right side
    26,407,296,038.40x = 1,046,017,926,089,544,564,736
  5. Step 5: Solve for x
    x = 1,046,017,926,089,544,564,736/26,407,296,038.40
  6. Step 6: Final answer
    x = 39,610,944,057.60

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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.