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Finding the Fourth Proportional to 51,433,265,553.30, 77,149,898,329.95 and 51,433,265,553.30

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Solution

The fourth proportional to 51,433,265,553.30, 77,149,898,329.95 and 51,433,265,553.30 is: 77,149,898,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433,265,553.30 : 77,149,898,329.95 = 51,433,265,553.30 : x
  2. Step 2: Convert to fraction form
    51,433,265,553.30/77,149,898,329.95 = 51,433,265,553.30/x
  3. Step 3: Cross multiply
    51,433,265,553.30x = 77,149,898,329.95 × 51,433,265,553.30
  4. Step 4: Simplify right side
    51,433,265,553.30x = 3,968,071,208,214,414,753,792
  5. Step 5: Solve for x
    x = 3,968,071,208,214,414,753,792/51,433,265,553.30
  6. Step 6: Final answer
    x = 77,149,898,329.95

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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.