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Finding the Fourth Proportional to 194,773,187,416.65, 292,159,781,124.97 and 194,773,187,416.65

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Solution

The fourth proportional to 194,773,187,416.65, 292,159,781,124.97 and 194,773,187,416.65 is: 292,159,781,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773,187,416.65 : 292,159,781,124.97 = 194,773,187,416.65 : x
  2. Step 2: Convert to fraction form
    194,773,187,416.65/292,159,781,124.97 = 194,773,187,416.65/x
  3. Step 3: Cross multiply
    194,773,187,416.65x = 292,159,781,124.97 × 194,773,187,416.65
  4. Step 4: Simplify right side
    194,773,187,416.65x = 56,904,891,804,661,216,968,704
  5. Step 5: Solve for x
    x = 56,904,891,804,661,216,968,704/194,773,187,416.65
  6. Step 6: Final answer
    x = 292,159,781,124.97

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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.