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Finding the Fourth Proportional to 139,671,027,145.80, 209,506,540,718.70 and 139,671,027,145.80

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Solution

The fourth proportional to 139,671,027,145.80, 209,506,540,718.70 and 139,671,027,145.80 is: 209,506,540,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,671,027,145.80 : 209,506,540,718.70 = 139,671,027,145.80 : x
  2. Step 2: Convert to fraction form
    139,671,027,145.80/209,506,540,718.70 = 139,671,027,145.80/x
  3. Step 3: Cross multiply
    139,671,027,145.80x = 209,506,540,718.70 × 139,671,027,145.80
  4. Step 4: Simplify right side
    139,671,027,145.80x = 29,261,993,735,944,201,568,256
  5. Step 5: Solve for x
    x = 29,261,993,735,944,201,568,256/139,671,027,145.80
  6. Step 6: Final answer
    x = 209,506,540,718.70

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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.