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Finding the Fourth Proportional to 136,329,264,114.60, 204,493,896,171.90 and 136,329,264,114.60

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Solution

The fourth proportional to 136,329,264,114.60, 204,493,896,171.90 and 136,329,264,114.60 is: 204,493,896,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,329,264,114.60 : 204,493,896,171.90 = 136,329,264,114.60 : x
  2. Step 2: Convert to fraction form
    136,329,264,114.60/204,493,896,171.90 = 136,329,264,114.60/x
  3. Step 3: Cross multiply
    136,329,264,114.60x = 204,493,896,171.90 × 136,329,264,114.60
  4. Step 4: Simplify right side
    136,329,264,114.60x = 27,878,502,381,042,547,032,064
  5. Step 5: Solve for x
    x = 27,878,502,381,042,547,032,064/136,329,264,114.60
  6. Step 6: Final answer
    x = 204,493,896,171.90

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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.