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Finding the Fourth Proportional to 601,445,062.98, 829,952,418.42 and 333,534,715.56

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Solution

The fourth proportional to 601,445,062.98, 829,952,418.42 and 333,534,715.56 is: 460,254,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,445,062.98 : 829,952,418.42 = 333,534,715.56 : x
  2. Step 2: Convert to fraction form
    601,445,062.98/829,952,418.42 = 333,534,715.56/x
  3. Step 3: Cross multiply
    601,445,062.98x = 829,952,418.42 × 333,534,715.56
  4. Step 4: Simplify right side
    601,445,062.98x = 276,817,943,806,048,800
  5. Step 5: Solve for x
    x = 276,817,943,806,048,800/601,445,062.98
  6. Step 6: Final answer
    x = 460,254,744.52

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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.