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Finding the Fourth Proportional to 579,273,852,024.80, 868,910,778,037.20 and 579,273,852,024.80

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Solution

The fourth proportional to 579,273,852,024.80, 868,910,778,037.20 and 579,273,852,024.80 is: 868,910,778,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,273,852,024.80 : 868,910,778,037.20 = 579,273,852,024.80 : x
  2. Step 2: Convert to fraction form
    579,273,852,024.80/868,910,778,037.20 = 579,273,852,024.80/x
  3. Step 3: Cross multiply
    579,273,852,024.80x = 868,910,778,037.20 × 579,273,852,024.80
  4. Step 4: Simplify right side
    579,273,852,024.80x = 503,337,293,459,474,826,133,504
  5. Step 5: Solve for x
    x = 503,337,293,459,474,826,133,504/579,273,852,024.80
  6. Step 6: Final answer
    x = 868,910,778,037.20

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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.