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Finding the Fourth Proportional to 559,970,829.70, 782,145,176.30 and 559,970,829.70

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Solution

The fourth proportional to 559,970,829.70, 782,145,176.30 and 559,970,829.70 is: 782,145,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,970,829.70 : 782,145,176.30 = 559,970,829.70 : x
  2. Step 2: Convert to fraction form
    559,970,829.70/782,145,176.30 = 559,970,829.70/x
  3. Step 3: Cross multiply
    559,970,829.70x = 782,145,176.30 × 559,970,829.70
  4. Step 4: Simplify right side
    559,970,829.70x = 437,978,483,318,563,776
  5. Step 5: Solve for x
    x = 437,978,483,318,563,776/559,970,829.70
  6. Step 6: Final answer
    x = 782,145,176.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.