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Finding the Fourth Proportional to 31,301,987,599.60, 46,952,981,399.40 and 31,301,987,599.60

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Solution

The fourth proportional to 31,301,987,599.60, 46,952,981,399.40 and 31,301,987,599.60 is: 46,952,981,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301,987,599.60 : 46,952,981,399.40 = 31,301,987,599.60 : x
  2. Step 2: Convert to fraction form
    31,301,987,599.60/46,952,981,399.40 = 31,301,987,599.60/x
  3. Step 3: Cross multiply
    31,301,987,599.60x = 46,952,981,399.40 × 31,301,987,599.60
  4. Step 4: Simplify right side
    31,301,987,599.60x = 1,469,721,641,528,268,161,024
  5. Step 5: Solve for x
    x = 1,469,721,641,528,268,161,024/31,301,987,599.60
  6. Step 6: Final answer
    x = 46,952,981,399.40

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1.5x scale

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.