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Finding the Fourth Proportional to 72,792,116,564.70, 109,188,174,847.14 and 72,792,116,564.70

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Solution

The fourth proportional to 72,792,116,564.70, 109,188,174,847.14 and 72,792,116,564.70 is: 109,188,174,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,792,116,564.70 : 109,188,174,847.14 = 72,792,116,564.70 : x
  2. Step 2: Convert to fraction form
    72,792,116,564.70/109,188,174,847.14 = 72,792,116,564.70/x
  3. Step 3: Cross multiply
    72,792,116,564.70x = 109,188,174,847.14 × 72,792,116,564.70
  4. Step 4: Simplify right side
    72,792,116,564.70x = 7,948,038,350,959,858,941,952
  5. Step 5: Solve for x
    x = 7,948,038,350,959,858,941,952/72,792,116,564.70
  6. Step 6: Final answer
    x = 109,188,174,847.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.