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Finding the Fourth Proportional to 559,873,114.40, 839,809,671.60 and 471,189,389.60

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Solution

The fourth proportional to 559,873,114.40, 839,809,671.60 and 471,189,389.60 is: 706,784,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,114.40 : 839,809,671.60 = 471,189,389.60 : x
  2. Step 2: Convert to fraction form
    559,873,114.40/839,809,671.60 = 471,189,389.60/x
  3. Step 3: Cross multiply
    559,873,114.40x = 839,809,671.60 × 471,189,389.60
  4. Step 4: Simplify right side
    559,873,114.40x = 395,709,406,541,380,480
  5. Step 5: Solve for x
    x = 395,709,406,541,380,480/559,873,114.40
  6. Step 6: Final answer
    x = 706,784,084.40

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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.