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Finding the Fourth Proportional to 687,508,617.80, 1,029,751,272.30 and 596,809,353.80

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Solution

The fourth proportional to 687,508,617.80, 1,029,751,272.30 and 596,809,353.80 is: 893,901,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,508,617.80 : 1,029,751,272.30 = 596,809,353.80 : x
  2. Step 2: Convert to fraction form
    687,508,617.80/1,029,751,272.30 = 596,809,353.80/x
  3. Step 3: Cross multiply
    687,508,617.80x = 1,029,751,272.30 × 596,809,353.80
  4. Step 4: Simplify right side
    687,508,617.80x = 614,565,191,396,090,752
  5. Step 5: Solve for x
    x = 614,565,191,396,090,752/687,508,617.80
  6. Step 6: Final answer
    x = 893,901,800.62

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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.