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Finding the Fourth Proportional to 136,329,264,019.35, 204,493,896,029.02 and 136,329,264,019.35

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Solution

The fourth proportional to 136,329,264,019.35, 204,493,896,029.02 and 136,329,264,019.35 is: 204,493,896,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,329,264,019.35 : 204,493,896,029.02 = 136,329,264,019.35 : x
  2. Step 2: Convert to fraction form
    136,329,264,019.35/204,493,896,029.02 = 136,329,264,019.35/x
  3. Step 3: Cross multiply
    136,329,264,019.35x = 204,493,896,029.02 × 136,329,264,019.35
  4. Step 4: Simplify right side
    136,329,264,019.35x = 27,878,502,342,085,775,982,592
  5. Step 5: Solve for x
    x = 27,878,502,342,085,775,982,592/136,329,264,019.35
  6. Step 6: Final answer
    x = 204,493,896,029.02

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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.