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Finding the Fourth Proportional to 577,465,745.40, 866,198,618.10 and 424,410,737.40

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Solution

The fourth proportional to 577,465,745.40, 866,198,618.10 and 424,410,737.40 is: 636,616,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,465,745.40 : 866,198,618.10 = 424,410,737.40 : x
  2. Step 2: Convert to fraction form
    577,465,745.40/866,198,618.10 = 424,410,737.40/x
  3. Step 3: Cross multiply
    577,465,745.40x = 866,198,618.10 × 424,410,737.40
  4. Step 4: Simplify right side
    577,465,745.40x = 367,623,994,242,681,984
  5. Step 5: Solve for x
    x = 367,623,994,242,681,984/577,465,745.40
  6. Step 6: Final answer
    x = 636,616,106.10

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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.