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Finding the Fourth Proportional to 590,976,633.80, 886,464,950.70 and 397,484,870.60

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Solution

The fourth proportional to 590,976,633.80, 886,464,950.70 and 397,484,870.60 is: 596,227,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976,633.80 : 886,464,950.70 = 397,484,870.60 : x
  2. Step 2: Convert to fraction form
    590,976,633.80/886,464,950.70 = 397,484,870.60/x
  3. Step 3: Cross multiply
    590,976,633.80x = 886,464,950.70 × 397,484,870.60
  4. Step 4: Simplify right side
    590,976,633.80x = 352,356,406,220,424,896
  5. Step 5: Solve for x
    x = 352,356,406,220,424,896/590,976,633.80
  6. Step 6: Final answer
    x = 596,227,305.90

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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.