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Finding the Fourth Proportional to 588,114,561.90, 882,171,842.85 and 588,114,561.90

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Solution

The fourth proportional to 588,114,561.90, 882,171,842.85 and 588,114,561.90 is: 882,171,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,114,561.90 : 882,171,842.85 = 588,114,561.90 : x
  2. Step 2: Convert to fraction form
    588,114,561.90/882,171,842.85 = 588,114,561.90/x
  3. Step 3: Cross multiply
    588,114,561.90x = 882,171,842.85 × 588,114,561.90
  4. Step 4: Simplify right side
    588,114,561.90x = 518,818,106,878,243,392
  5. Step 5: Solve for x
    x = 518,818,106,878,243,392/588,114,561.90
  6. Step 6: Final answer
    x = 882,171,842.85

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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.