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Finding the Fourth Proportional to 517,428,867.80, 776,143,301.70 and 415,392,195.80

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Solution

The fourth proportional to 517,428,867.80, 776,143,301.70 and 415,392,195.80 is: 623,088,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,428,867.80 : 776,143,301.70 = 415,392,195.80 : x
  2. Step 2: Convert to fraction form
    517,428,867.80/776,143,301.70 = 415,392,195.80/x
  3. Step 3: Cross multiply
    517,428,867.80x = 776,143,301.70 × 415,392,195.80
  4. Step 4: Simplify right side
    517,428,867.80x = 322,403,870,348,624,896
  5. Step 5: Solve for x
    x = 322,403,870,348,624,896/517,428,867.80
  6. Step 6: Final answer
    x = 623,088,293.70

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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.