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Finding the Fourth Proportional to 393,985,607.40, 590,978,411.10 and 264,991,098.60

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Solution

The fourth proportional to 393,985,607.40, 590,978,411.10 and 264,991,098.60 is: 397,486,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,985,607.40 : 590,978,411.10 = 264,991,098.60 : x
  2. Step 2: Convert to fraction form
    393,985,607.40/590,978,411.10 = 264,991,098.60/x
  3. Step 3: Cross multiply
    393,985,607.40x = 590,978,411.10 × 264,991,098.60
  4. Step 4: Simplify right side
    393,985,607.40x = 156,604,018,406,271,424
  5. Step 5: Solve for x
    x = 156,604,018,406,271,424/393,985,607.40
  6. Step 6: Final answer
    x = 397,486,647.90

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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.