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Finding the Fourth Proportional to 146,079,888,902.85, 219,119,833,354.28 and 146,079,888,902.85

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Solution

The fourth proportional to 146,079,888,902.85, 219,119,833,354.28 and 146,079,888,902.85 is: 219,119,833,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,079,888,902.85 : 219,119,833,354.28 = 146,079,888,902.85 : x
  2. Step 2: Convert to fraction form
    146,079,888,902.85/219,119,833,354.28 = 146,079,888,902.85/x
  3. Step 3: Cross multiply
    146,079,888,902.85x = 219,119,833,354.28 × 146,079,888,902.85
  4. Step 4: Simplify right side
    146,079,888,902.85x = 32,009,000,912,804,227,579,904
  5. Step 5: Solve for x
    x = 32,009,000,912,804,227,579,904/146,079,888,902.85
  6. Step 6: Final answer
    x = 219,119,833,354.28

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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.