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Finding the Fourth Proportional to 519,048,008.40, 725,306,722.80 and 519,048,008.40

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Solution

The fourth proportional to 519,048,008.40, 725,306,722.80 and 519,048,008.40 is: 725,306,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,048,008.40 : 725,306,722.80 = 519,048,008.40 : x
  2. Step 2: Convert to fraction form
    519,048,008.40/725,306,722.80 = 519,048,008.40/x
  3. Step 3: Cross multiply
    519,048,008.40x = 725,306,722.80 × 519,048,008.40
  4. Step 4: Simplify right side
    519,048,008.40x = 376,469,009,948,470,848
  5. Step 5: Solve for x
    x = 376,469,009,948,470,848/519,048,008.40
  6. Step 6: Final answer
    x = 725,306,722.80

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1.5x scale

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.