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Finding the Fourth Proportional to 173,842,551,208.20, 260,763,826,812.30 and 173,842,551,208.20

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Solution

The fourth proportional to 173,842,551,208.20, 260,763,826,812.30 and 173,842,551,208.20 is: 260,763,826,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,842,551,208.20 : 260,763,826,812.30 = 173,842,551,208.20 : x
  2. Step 2: Convert to fraction form
    173,842,551,208.20/260,763,826,812.30 = 173,842,551,208.20/x
  3. Step 3: Cross multiply
    173,842,551,208.20x = 260,763,826,812.30 × 173,842,551,208.20
  4. Step 4: Simplify right side
    173,842,551,208.20x = 45,331,848,915,863,457,497,088
  5. Step 5: Solve for x
    x = 45,331,848,915,863,457,497,088/173,842,551,208.20
  6. Step 6: Final answer
    x = 260,763,826,812.30

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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.