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Finding the Fourth Proportional to 61,628,487,785.80, 92,442,731,678.70 and 61,628,487,785.80

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Solution

The fourth proportional to 61,628,487,785.80, 92,442,731,678.70 and 61,628,487,785.80 is: 92,442,731,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,628,487,785.80 : 92,442,731,678.70 = 61,628,487,785.80 : x
  2. Step 2: Convert to fraction form
    61,628,487,785.80/92,442,731,678.70 = 61,628,487,785.80/x
  3. Step 3: Cross multiply
    61,628,487,785.80x = 92,442,731,678.70 × 61,628,487,785.80
  4. Step 4: Simplify right side
    61,628,487,785.80x = 5,697,105,760,146,749,915,136
  5. Step 5: Solve for x
    x = 5,697,105,760,146,749,915,136/61,628,487,785.80
  6. Step 6: Final answer
    x = 92,442,731,678.70

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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.