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Finding the Fourth Proportional to 27,205,632,021.60, 40,808,448,032.40 and 27,205,632,021.60

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Solution

The fourth proportional to 27,205,632,021.60, 40,808,448,032.40 and 27,205,632,021.60 is: 40,808,448,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205,632,021.60 : 40,808,448,032.40 = 27,205,632,021.60 : x
  2. Step 2: Convert to fraction form
    27,205,632,021.60/40,808,448,032.40 = 27,205,632,021.60/x
  3. Step 3: Cross multiply
    27,205,632,021.60x = 40,808,448,032.40 × 27,205,632,021.60
  4. Step 4: Simplify right side
    27,205,632,021.60x = 1,110,219,620,542,060,953,600
  5. Step 5: Solve for x
    x = 1,110,219,620,542,060,953,600/27,205,632,021.60
  6. Step 6: Final answer
    x = 40,808,448,032.40

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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.