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Finding the Fourth Proportional to 559,971,007.20, 782,145,424.80 and 559,971,007.20

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Solution

The fourth proportional to 559,971,007.20, 782,145,424.80 and 559,971,007.20 is: 782,145,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,971,007.20 : 782,145,424.80 = 559,971,007.20 : x
  2. Step 2: Convert to fraction form
    559,971,007.20/782,145,424.80 = 559,971,007.20/x
  3. Step 3: Cross multiply
    559,971,007.20x = 782,145,424.80 × 559,971,007.20
  4. Step 4: Simplify right side
    559,971,007.20x = 437,978,761,302,127,872
  5. Step 5: Solve for x
    x = 437,978,761,302,127,872/559,971,007.20
  6. Step 6: Final answer
    x = 782,145,424.80

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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.