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Finding the Fourth Proportional to 3,434,688,045.05, 5,152,032,067.58 and 3,434,688,045.05

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Solution

The fourth proportional to 3,434,688,045.05, 5,152,032,067.58 and 3,434,688,045.05 is: 5,152,032,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,688,045.05 : 5,152,032,067.58 = 3,434,688,045.05 : x
  2. Step 2: Convert to fraction form
    3,434,688,045.05/5,152,032,067.58 = 3,434,688,045.05/x
  3. Step 3: Cross multiply
    3,434,688,045.05x = 5,152,032,067.58 × 3,434,688,045.05
  4. Step 4: Simplify right side
    3,434,688,045.05x = 17,695,622,950,214,086,656
  5. Step 5: Solve for x
    x = 17,695,622,950,214,086,656/3,434,688,045.05
  6. Step 6: Final answer
    x = 5,152,032,067.58

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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.