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Finding the Fourth Proportional to 49,466,376,429.80, 74,199,564,644.70 and 49,466,376,429.80

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Solution

The fourth proportional to 49,466,376,429.80, 74,199,564,644.70 and 49,466,376,429.80 is: 74,199,564,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,466,376,429.80 : 74,199,564,644.70 = 49,466,376,429.80 : x
  2. Step 2: Convert to fraction form
    49,466,376,429.80/74,199,564,644.70 = 49,466,376,429.80/x
  3. Step 3: Cross multiply
    49,466,376,429.80x = 74,199,564,644.70 × 49,466,376,429.80
  4. Step 4: Simplify right side
    49,466,376,429.80x = 3,670,383,595,642,009,681,920
  5. Step 5: Solve for x
    x = 3,670,383,595,642,009,681,920/49,466,376,429.80
  6. Step 6: Final answer
    x = 74,199,564,644.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.