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Finding the Fourth Proportional to 204,720,696,064.80, 306,530,046,068.40 and 204,720,696,064.80

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Solution

The fourth proportional to 204,720,696,064.80, 306,530,046,068.40 and 204,720,696,064.80 is: 306,530,046,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,720,696,064.80 : 306,530,046,068.40 = 204,720,696,064.80 : x
  2. Step 2: Convert to fraction form
    204,720,696,064.80/306,530,046,068.40 = 204,720,696,064.80/x
  3. Step 3: Cross multiply
    204,720,696,064.80x = 306,530,046,068.40 × 204,720,696,064.80
  4. Step 4: Simplify right side
    204,720,696,064.80x = 62,753,044,395,898,055,950,336
  5. Step 5: Solve for x
    x = 62,753,044,395,898,055,950,336/204,720,696,064.80
  6. Step 6: Final answer
    x = 306,530,046,068.40

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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.