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Finding the Fourth Proportional to 876,798,155.20, 1,209,696,757.68 and 597,855,402.40

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Solution

The fourth proportional to 876,798,155.20, 1,209,696,757.68 and 597,855,402.40 is: 824,846,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,798,155.20 : 1,209,696,757.68 = 597,855,402.40 : x
  2. Step 2: Convert to fraction form
    876,798,155.20/1,209,696,757.68 = 597,855,402.40/x
  3. Step 3: Cross multiply
    876,798,155.20x = 1,209,696,757.68 × 597,855,402.40
  4. Step 4: Simplify right side
    876,798,155.20x = 723,223,741,844,751,744
  5. Step 5: Solve for x
    x = 723,223,741,844,751,744/876,798,155.20
  6. Step 6: Final answer
    x = 824,846,331.57

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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.