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Finding the Fourth Proportional to 497,667,617.40, 746,501,426.10 and 437,201,441.40

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Solution

The fourth proportional to 497,667,617.40, 746,501,426.10 and 437,201,441.40 is: 655,802,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,667,617.40 : 746,501,426.10 = 437,201,441.40 : x
  2. Step 2: Convert to fraction form
    497,667,617.40/746,501,426.10 = 437,201,441.40/x
  3. Step 3: Cross multiply
    497,667,617.40x = 746,501,426.10 × 437,201,441.40
  4. Step 4: Simplify right side
    497,667,617.40x = 326,371,499,498,075,584
  5. Step 5: Solve for x
    x = 326,371,499,498,075,584/497,667,617.40
  6. Step 6: Final answer
    x = 655,802,162.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.