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Finding the Fourth Proportional to 586,114,716.98, 808,839,890.10 and 321,813,828.74

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Solution

The fourth proportional to 586,114,716.98, 808,839,890.10 and 321,813,828.74 is: 444,103,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,114,716.98 : 808,839,890.10 = 321,813,828.74 : x
  2. Step 2: Convert to fraction form
    586,114,716.98/808,839,890.10 = 321,813,828.74/x
  3. Step 3: Cross multiply
    586,114,716.98x = 808,839,890.10 × 321,813,828.74
  4. Step 4: Simplify right side
    586,114,716.98x = 260,295,861,870,721,824
  5. Step 5: Solve for x
    x = 260,295,861,870,721,824/586,114,716.98
  6. Step 6: Final answer
    x = 444,103,951.55

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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.