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Finding the Fourth Proportional to 549,910,352.70, 824,865,529.05 and 478,883,263.05

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Solution

The fourth proportional to 549,910,352.70, 824,865,529.05 and 478,883,263.05 is: 718,324,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,910,352.70 : 824,865,529.05 = 478,883,263.05 : x
  2. Step 2: Convert to fraction form
    549,910,352.70/824,865,529.05 = 478,883,263.05/x
  3. Step 3: Cross multiply
    549,910,352.70x = 824,865,529.05 × 478,883,263.05
  4. Step 4: Simplify right side
    549,910,352.70x = 395,014,296,128,928,576
  5. Step 5: Solve for x
    x = 395,014,296,128,928,576/549,910,352.70
  6. Step 6: Final answer
    x = 718,324,894.58

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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.