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Finding the Fourth Proportional to 292,159,777,726.45, 438,239,666,589.73 and 292,159,777,726.45

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Solution

The fourth proportional to 292,159,777,726.45, 438,239,666,589.73 and 292,159,777,726.45 is: 438,239,666,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,777,726.45 : 438,239,666,589.73 = 292,159,777,726.45 : x
  2. Step 2: Convert to fraction form
    292,159,777,726.45/438,239,666,589.73 = 292,159,777,726.45/x
  3. Step 3: Cross multiply
    292,159,777,726.45x = 438,239,666,589.73 × 292,159,777,726.45
  4. Step 4: Simplify right side
    292,159,777,726.45x = 128,036,003,581,769,067,528,192
  5. Step 5: Solve for x
    x = 128,036,003,581,769,067,528,192/292,159,777,726.45
  6. Step 6: Final answer
    x = 438,239,666,589.73

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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.