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Finding the Fourth Proportional to 425,413,612,008.15, 638,120,418,012.23 and 425,413,612,008.15

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Solution

The fourth proportional to 425,413,612,008.15, 638,120,418,012.23 and 425,413,612,008.15 is: 638,120,418,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,413,612,008.15 : 638,120,418,012.23 = 425,413,612,008.15 : x
  2. Step 2: Convert to fraction form
    425,413,612,008.15/638,120,418,012.23 = 425,413,612,008.15/x
  3. Step 3: Cross multiply
    425,413,612,008.15x = 638,120,418,012.23 × 425,413,612,008.15
  4. Step 4: Simplify right side
    425,413,612,008.15x = 271,465,111,922,733,322,600,448
  5. Step 5: Solve for x
    x = 271,465,111,922,733,322,600,448/425,413,612,008.15
  6. Step 6: Final answer
    x = 638,120,418,012.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.