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Finding the Fourth Proportional to 873,731,005.29, 1,205,740,638.50 and 477,253,843.11

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Solution

The fourth proportional to 873,731,005.29, 1,205,740,638.50 and 477,253,843.11 is: 658,605,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,731,005.29 : 1,205,740,638.50 = 477,253,843.11 : x
  2. Step 2: Convert to fraction form
    873,731,005.29/1,205,740,638.50 = 477,253,843.11/x
  3. Step 3: Cross multiply
    873,731,005.29x = 1,205,740,638.50 × 477,253,843.11
  4. Step 4: Simplify right side
    873,731,005.29x = 575,444,353,518,030,272
  5. Step 5: Solve for x
    x = 575,444,353,518,030,272/873,731,005.29
  6. Step 6: Final answer
    x = 658,605,852.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.