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Finding the Fourth Proportional to 538,893,165.16, 743,668,240.26 and 312,853,125.16

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Solution

The fourth proportional to 538,893,165.16, 743,668,240.26 and 312,853,125.16 is: 431,734,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,893,165.16 : 743,668,240.26 = 312,853,125.16 : x
  2. Step 2: Convert to fraction form
    538,893,165.16/743,668,240.26 = 312,853,125.16/x
  3. Step 3: Cross multiply
    538,893,165.16x = 743,668,240.26 × 312,853,125.16
  4. Step 4: Simplify right side
    538,893,165.16x = 232,658,933,047,578,752
  5. Step 5: Solve for x
    x = 232,658,933,047,578,752/538,893,165.16
  6. Step 6: Final answer
    x = 431,734,800.31

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