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Finding the Fourth Proportional to 61,628,487,767.80, 92,442,731,651.70 and 61,628,487,767.80

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Solution

The fourth proportional to 61,628,487,767.80, 92,442,731,651.70 and 61,628,487,767.80 is: 92,442,731,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,628,487,767.80 : 92,442,731,651.70 = 61,628,487,767.80 : x
  2. Step 2: Convert to fraction form
    61,628,487,767.80/92,442,731,651.70 = 61,628,487,767.80/x
  3. Step 3: Cross multiply
    61,628,487,767.80x = 92,442,731,651.70 × 61,628,487,767.80
  4. Step 4: Simplify right side
    61,628,487,767.80x = 5,697,105,756,818,811,912,192
  5. Step 5: Solve for x
    x = 5,697,105,756,818,811,912,192/61,628,487,767.80
  6. Step 6: Final answer
    x = 92,442,731,651.70

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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.