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Finding the Fourth Proportional to 261,648,122,625.30, 392,472,183,937.95 and 261,648,122,625.30

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Solution

The fourth proportional to 261,648,122,625.30, 392,472,183,937.95 and 261,648,122,625.30 is: 392,472,183,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,648,122,625.30 : 392,472,183,937.95 = 261,648,122,625.30 : x
  2. Step 2: Convert to fraction form
    261,648,122,625.30/392,472,183,937.95 = 261,648,122,625.30/x
  3. Step 3: Cross multiply
    261,648,122,625.30x = 392,472,183,937.95 × 261,648,122,625.30
  4. Step 4: Simplify right side
    261,648,122,625.30x = 102,689,610,110,016,042,303,488
  5. Step 5: Solve for x
    x = 102,689,610,110,016,042,303,488/261,648,122,625.30
  6. Step 6: Final answer
    x = 392,472,183,937.95

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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.