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Finding the Fourth Proportional to 194,773,187,262.78, 292,159,780,894.17 and 194,773,187,262.78

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Solution

The fourth proportional to 194,773,187,262.78, 292,159,780,894.17 and 194,773,187,262.78 is: 292,159,780,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773,187,262.78 : 292,159,780,894.17 = 194,773,187,262.78 : x
  2. Step 2: Convert to fraction form
    194,773,187,262.78/292,159,780,894.17 = 194,773,187,262.78/x
  3. Step 3: Cross multiply
    194,773,187,262.78x = 292,159,780,894.17 × 194,773,187,262.78
  4. Step 4: Simplify right side
    194,773,187,262.78x = 56,904,891,714,752,946,896,896
  5. Step 5: Solve for x
    x = 56,904,891,714,752,946,896,896/194,773,187,262.78
  6. Step 6: Final answer
    x = 292,159,780,894.17

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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.