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Finding the Fourth Proportional to 590,978,699.40, 886,468,049.10 and 318,880,907.40

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Solution

The fourth proportional to 590,978,699.40, 886,468,049.10 and 318,880,907.40 is: 478,321,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978,699.40 : 886,468,049.10 = 318,880,907.40 : x
  2. Step 2: Convert to fraction form
    590,978,699.40/886,468,049.10 = 318,880,907.40/x
  3. Step 3: Cross multiply
    590,978,699.40x = 886,468,049.10 × 318,880,907.40
  4. Step 4: Simplify right side
    590,978,699.40x = 282,677,735,878,115,744
  5. Step 5: Solve for x
    x = 282,677,735,878,115,744/590,978,699.40
  6. Step 6: Final answer
    x = 478,321,361.10

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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.