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Finding the Fourth Proportional to 501,385,406.70, 752,078,110.05 and 501,385,406.70

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Solution

The fourth proportional to 501,385,406.70, 752,078,110.05 and 501,385,406.70 is: 752,078,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,385,406.70 : 752,078,110.05 = 501,385,406.70 : x
  2. Step 2: Convert to fraction form
    501,385,406.70/752,078,110.05 = 501,385,406.70/x
  3. Step 3: Cross multiply
    501,385,406.70x = 752,078,110.05 × 501,385,406.70
  4. Step 4: Simplify right side
    501,385,406.70x = 377,080,989,077,586,560
  5. Step 5: Solve for x
    x = 377,080,989,077,586,560/501,385,406.70
  6. Step 6: Final answer
    x = 752,078,110.05

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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.