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Finding the Fourth Proportional to 48,528,078,797.80, 72,792,118,196.70 and 48,528,078,797.80

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Solution

The fourth proportional to 48,528,078,797.80, 72,792,118,196.70 and 48,528,078,797.80 is: 72,792,118,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,528,078,797.80 : 72,792,118,196.70 = 48,528,078,797.80 : x
  2. Step 2: Convert to fraction form
    48,528,078,797.80/72,792,118,196.70 = 48,528,078,797.80/x
  3. Step 3: Cross multiply
    48,528,078,797.80x = 72,792,118,196.70 × 48,528,078,797.80
  4. Step 4: Simplify right side
    48,528,078,797.80x = 3,532,461,647,708,228,681,728
  5. Step 5: Solve for x
    x = 3,532,461,647,708,228,681,728/48,528,078,797.80
  6. Step 6: Final answer
    x = 72,792,118,196.70

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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.