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Finding the Fourth Proportional to 2,657,202,332.05, 3,985,803,498.08 and 2,657,202,332.05

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Solution

The fourth proportional to 2,657,202,332.05, 3,985,803,498.08 and 2,657,202,332.05 is: 3,985,803,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,202,332.05 : 3,985,803,498.08 = 2,657,202,332.05 : x
  2. Step 2: Convert to fraction form
    2,657,202,332.05/3,985,803,498.08 = 2,657,202,332.05/x
  3. Step 3: Cross multiply
    2,657,202,332.05x = 3,985,803,498.08 × 2,657,202,332.05
  4. Step 4: Simplify right side
    2,657,202,332.05x = 10,591,086,350,191,224,832
  5. Step 5: Solve for x
    x = 10,591,086,350,191,224,832/2,657,202,332.05
  6. Step 6: Final answer
    x = 3,985,803,498.08

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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.