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Finding the Fourth Proportional to 567,626,903.80, 851,440,355.70 and 414,571,895.80

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Solution

The fourth proportional to 567,626,903.80, 851,440,355.70 and 414,571,895.80 is: 621,857,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,626,903.80 : 851,440,355.70 = 414,571,895.80 : x
  2. Step 2: Convert to fraction form
    567,626,903.80/851,440,355.70 = 414,571,895.80/x
  3. Step 3: Cross multiply
    567,626,903.80x = 851,440,355.70 × 414,571,895.80
  4. Step 4: Simplify right side
    567,626,903.80x = 352,983,242,423,175,360
  5. Step 5: Solve for x
    x = 352,983,242,423,175,360/567,626,903.80
  6. Step 6: Final answer
    x = 621,857,843.70

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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.