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Finding the Fourth Proportional to 462,666,027.77, 693,973,496.47 and 338,296,105.67

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Solution

The fourth proportional to 462,666,027.77, 693,973,496.47 and 338,296,105.67 is: 507,425,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,666,027.77 : 693,973,496.47 = 338,296,105.67 : x
  2. Step 2: Convert to fraction form
    462,666,027.77/693,973,496.47 = 338,296,105.67/x
  3. Step 3: Cross multiply
    462,666,027.77x = 693,973,496.47 × 338,296,105.67
  4. Step 4: Simplify right side
    462,666,027.77x = 234,768,531,293,994,528
  5. Step 5: Solve for x
    x = 234,768,531,293,994,528/462,666,027.77
  6. Step 6: Final answer
    x = 507,425,480.16

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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.