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Finding the Fourth Proportional to 232,736,295,087.02, 349,104,442,630.54 and 232,736,295,087.02

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Solution

The fourth proportional to 232,736,295,087.02, 349,104,442,630.54 and 232,736,295,087.02 is: 349,104,442,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736,295,087.02 : 349,104,442,630.54 = 232,736,295,087.02 : x
  2. Step 2: Convert to fraction form
    232,736,295,087.02/349,104,442,630.54 = 232,736,295,087.02/x
  3. Step 3: Cross multiply
    232,736,295,087.02x = 349,104,442,630.54 × 232,736,295,087.02
  4. Step 4: Simplify right side
    232,736,295,087.02x = 81,249,274,576,250,991,542,272
  5. Step 5: Solve for x
    x = 81,249,274,576,250,991,542,272/232,736,295,087.02
  6. Step 6: Final answer
    x = 349,104,442,630.54

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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.