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Finding the Fourth Proportional to 49,774,896,003.60, 74,662,344,005.40 and 49,774,896,003.60

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Solution

The fourth proportional to 49,774,896,003.60, 74,662,344,005.40 and 49,774,896,003.60 is: 74,662,344,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774,896,003.60 : 74,662,344,005.40 = 49,774,896,003.60 : x
  2. Step 2: Convert to fraction form
    49,774,896,003.60/74,662,344,005.40 = 49,774,896,003.60/x
  3. Step 3: Cross multiply
    49,774,896,003.60x = 74,662,344,005.40 × 49,774,896,003.60
  4. Step 4: Simplify right side
    49,774,896,003.60x = 3,716,310,408,253,792,583,680
  5. Step 5: Solve for x
    x = 3,716,310,408,253,792,583,680/49,774,896,003.60
  6. Step 6: Final answer
    x = 74,662,344,005.40

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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.