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Finding the Fourth Proportional to 30,698,103,614.73, 46,047,155,422.09 and 30,698,103,614.73

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Solution

The fourth proportional to 30,698,103,614.73, 46,047,155,422.09 and 30,698,103,614.73 is: 46,047,155,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698,103,614.73 : 46,047,155,422.09 = 30,698,103,614.73 : x
  2. Step 2: Convert to fraction form
    30,698,103,614.73/46,047,155,422.09 = 30,698,103,614.73/x
  3. Step 3: Cross multiply
    30,698,103,614.73x = 46,047,155,422.09 × 30,698,103,614.73
  4. Step 4: Simplify right side
    30,698,103,614.73x = 1,413,560,348,310,895,067,136
  5. Step 5: Solve for x
    x = 1,413,560,348,310,895,067,136/30,698,103,614.73
  6. Step 6: Final answer
    x = 46,047,155,422.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.