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Finding the Fourth Proportional to 83,172,614,903.20, 124,758,922,354.80 and 83,172,614,903.20

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Solution

The fourth proportional to 83,172,614,903.20, 124,758,922,354.80 and 83,172,614,903.20 is: 124,758,922,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172,614,903.20 : 124,758,922,354.80 = 83,172,614,903.20 : x
  2. Step 2: Convert to fraction form
    83,172,614,903.20/124,758,922,354.80 = 83,172,614,903.20/x
  3. Step 3: Cross multiply
    83,172,614,903.20x = 124,758,922,354.80 × 83,172,614,903.20
  4. Step 4: Simplify right side
    83,172,614,903.20x = 10,376,525,804,754,010,374,144
  5. Step 5: Solve for x
    x = 10,376,525,804,754,010,374,144/83,172,614,903.20
  6. Step 6: Final answer
    x = 124,758,922,354.80

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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.