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Finding the Fourth Proportional to 161,314,676,859.60, 241,972,015,289.40 and 161,314,676,859.60

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Solution

The fourth proportional to 161,314,676,859.60, 241,972,015,289.40 and 161,314,676,859.60 is: 241,972,015,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,314,676,859.60 : 241,972,015,289.40 = 161,314,676,859.60 : x
  2. Step 2: Convert to fraction form
    161,314,676,859.60/241,972,015,289.40 = 161,314,676,859.60/x
  3. Step 3: Cross multiply
    161,314,676,859.60x = 241,972,015,289.40 × 161,314,676,859.60
  4. Step 4: Simplify right side
    161,314,676,859.60x = 39,033,637,455,475,750,469,632
  5. Step 5: Solve for x
    x = 39,033,637,455,475,750,469,632/161,314,676,859.60
  6. Step 6: Final answer
    x = 241,972,015,289.40

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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.