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Finding the Fourth Proportional to 289,852,101.88, 399,999,072.30 and 157,693,849.72

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Solution

The fourth proportional to 289,852,101.88, 399,999,072.30 and 157,693,849.72 is: 217,619,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,852,101.88 : 399,999,072.30 = 157,693,849.72 : x
  2. Step 2: Convert to fraction form
    289,852,101.88/399,999,072.30 = 157,693,849.72/x
  3. Step 3: Cross multiply
    289,852,101.88x = 399,999,072.30 × 157,693,849.72
  4. Step 4: Simplify right side
    289,852,101.88x = 63,077,393,595,415,616
  5. Step 5: Solve for x
    x = 63,077,393,595,415,616/289,852,101.88
  6. Step 6: Final answer
    x = 217,619,238.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.