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Finding the Fourth Proportional to 434,688,542.20, 652,032,813.30 and 434,688,542.20

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Solution

The fourth proportional to 434,688,542.20, 652,032,813.30 and 434,688,542.20 is: 652,032,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,688,542.20 : 652,032,813.30 = 434,688,542.20 : x
  2. Step 2: Convert to fraction form
    434,688,542.20/652,032,813.30 = 434,688,542.20/x
  3. Step 3: Cross multiply
    434,688,542.20x = 652,032,813.30 × 434,688,542.20
  4. Step 4: Simplify right side
    434,688,542.20x = 283,431,193,079,941,728
  5. Step 5: Solve for x
    x = 283,431,193,079,941,728/434,688,542.20
  6. Step 6: Final answer
    x = 652,032,813.30

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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.