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Finding the Fourth Proportional to 61,046,834,992.41, 91,570,252,488.62 and 61,046,834,992.41

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Solution

The fourth proportional to 61,046,834,992.41, 91,570,252,488.62 and 61,046,834,992.41 is: 91,570,252,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,046,834,992.41 : 91,570,252,488.62 = 61,046,834,992.41 : x
  2. Step 2: Convert to fraction form
    61,046,834,992.41/91,570,252,488.62 = 61,046,834,992.41/x
  3. Step 3: Cross multiply
    61,046,834,992.41x = 91,570,252,488.62 × 61,046,834,992.41
  4. Step 4: Simplify right side
    61,046,834,992.41x = 5,590,074,093,885,801,365,504
  5. Step 5: Solve for x
    x = 5,590,074,093,885,801,365,504/61,046,834,992.41
  6. Step 6: Final answer
    x = 91,570,252,488.62

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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.