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Finding the Fourth Proportional to 219,119,833,440.15, 328,679,750,160.22 and 219,119,833,440.15

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Solution

The fourth proportional to 219,119,833,440.15, 328,679,750,160.22 and 219,119,833,440.15 is: 328,679,750,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,119,833,440.15 : 328,679,750,160.22 = 219,119,833,440.15 : x
  2. Step 2: Convert to fraction form
    219,119,833,440.15/328,679,750,160.22 = 219,119,833,440.15/x
  3. Step 3: Cross multiply
    219,119,833,440.15x = 328,679,750,160.22 × 219,119,833,440.15
  4. Step 4: Simplify right side
    219,119,833,440.15x = 72,020,252,110,257,511,202,816
  5. Step 5: Solve for x
    x = 72,020,252,110,257,511,202,816/219,119,833,440.15
  6. Step 6: Final answer
    x = 328,679,750,160.22

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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.