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Finding the Fourth Proportional to 595,281,973.16, 892,865,222.94 and 180,762,383.57

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Solution

The fourth proportional to 595,281,973.16, 892,865,222.94 and 180,762,383.57 is: 271,126,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,281,973.16 : 892,865,222.94 = 180,762,383.57 : x
  2. Step 2: Convert to fraction form
    595,281,973.16/892,865,222.94 = 180,762,383.57/x
  3. Step 3: Cross multiply
    595,281,973.16x = 892,865,222.94 × 180,762,383.57
  4. Step 4: Simplify right side
    595,281,973.16x = 161,396,445,901,607,392
  5. Step 5: Solve for x
    x = 161,396,445,901,607,392/595,281,973.16
  6. Step 6: Final answer
    x = 271,126,043.08

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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.