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Finding the Fourth Proportional to 72,749,278,727.80, 109,123,918,091.70 and 72,749,278,727.80

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Solution

The fourth proportional to 72,749,278,727.80, 109,123,918,091.70 and 72,749,278,727.80 is: 109,123,918,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749,278,727.80 : 109,123,918,091.70 = 72,749,278,727.80 : x
  2. Step 2: Convert to fraction form
    72,749,278,727.80/109,123,918,091.70 = 72,749,278,727.80/x
  3. Step 3: Cross multiply
    72,749,278,727.80x = 109,123,918,091.70 × 72,749,278,727.80
  4. Step 4: Simplify right side
    72,749,278,727.80x = 7,938,686,333,122,700,640,256
  5. Step 5: Solve for x
    x = 7,938,686,333,122,700,640,256/72,749,278,727.80
  6. Step 6: Final answer
    x = 109,123,918,091.70

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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.