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Finding the Fourth Proportional to 48,436,656,005.30, 72,654,984,007.95 and 48,436,656,005.30

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Solution

The fourth proportional to 48,436,656,005.30, 72,654,984,007.95 and 48,436,656,005.30 is: 72,654,984,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,436,656,005.30 : 72,654,984,007.95 = 48,436,656,005.30 : x
  2. Step 2: Convert to fraction form
    48,436,656,005.30/72,654,984,007.95 = 48,436,656,005.30/x
  3. Step 3: Cross multiply
    48,436,656,005.30x = 72,654,984,007.95 × 48,436,656,005.30
  4. Step 4: Simplify right side
    48,436,656,005.30x = 3,519,164,467,463,647,133,696
  5. Step 5: Solve for x
    x = 3,519,164,467,463,647,133,696/48,436,656,005.30
  6. Step 6: Final answer
    x = 72,654,984,007.95

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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.