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Finding the Fourth Proportional to 219,119,834,572.65, 328,679,751,858.97 and 219,119,834,572.65

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Solution

The fourth proportional to 219,119,834,572.65, 328,679,751,858.97 and 219,119,834,572.65 is: 328,679,751,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,119,834,572.65 : 328,679,751,858.97 = 219,119,834,572.65 : x
  2. Step 2: Convert to fraction form
    219,119,834,572.65/328,679,751,858.97 = 219,119,834,572.65/x
  3. Step 3: Cross multiply
    219,119,834,572.65x = 328,679,751,858.97 × 219,119,834,572.65
  4. Step 4: Simplify right side
    219,119,834,572.65x = 72,020,252,854,717,153,017,856
  5. Step 5: Solve for x
    x = 72,020,252,854,717,153,017,856/219,119,834,572.65
  6. Step 6: Final answer
    x = 328,679,751,858.97

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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.